Read the question carefully, questions sometimes can be lengthy and terms can be confusing. Find the two numbers. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. How long does it take him to go 5 km in stationary water? 2 1/5 gallons were regular soda, and the rest was diet soda. This is an alternate ISBN. 1. Our team will review it before it's shown to our readers. That is, it takes Bill 2 hours to complete the report and it takes Maria 4 hours to complete the same report, so if Bill and Maria work together it will take 6 hours to complete the report. . Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. Let x be the speed of the train. Multiply both sides of this equation by the common denominator 10x(2x + 1). Required fields are marked *. Lesson Title: Originally Answered: It takes aboat 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Note that each row of Table \(\PageIndex{1}\) has two entries entered. still water and the speed of the current. We can calculate the rate at which Hank is working alone by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substituting Hanks data from row one of Table \(\PageIndex{7}\). That is, \[\text { Work }=\text { Rate } \times \text { Time. Again, it is very important that we check this result. If they work together, it takes them 10 hours. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Jacob is canoeing in a river with a 5 mph current. We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. Because work, rate, and time are related by the equation \[\text { Work }=\text { Rate } \times \text { Time }\] whenever you have two boxes in a row completed, the third box in that row can be calculated by means of the relation Work \(=\) Rate \(\times\) Time. The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. what is the speed of the boat in still water and of the current river? Therefore, their combined rate is 1/2 + 1/4 reports per hour. In 4/3 of an hour, Maria will complete, \[\text { Work }=\frac{1}{4} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{1}{3} \mathrm{reports}\]. How long will it take them to finish the report if they work together? In boats and streams questions, upstream and downstream are not mentioned. Expand, simplify, make one side zero, then factor. He paddles 5 miles upstream against the current and then returns to the starting location. It takes Sanjay 7 hours to paint the same room. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Find the rate of the current and the rate of the boat in still water. Let's say I'm in a 10 mph current in a canoe. Copyright 2021, Leverage Edu. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question What is the rate of the boat in still water and what is the rate of the current? Total time problem. Find the speed of the current and the speed of the boat in still water. Find the speed (mph) of Jacobs canoe in still water. Let x =
Suppose that he can canoe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. Making educational experiences better for everyone. Get a free answer to a quick problem. If the boat is traveling
The total time of the trip is 9 hours. Calculating distance between two points, If it takes t hours for a boat to reach a point in still water and comes back to the same point, Calculating the distance between two points, If it takes t hours more to go to a point upstream than downstream for the same distance, Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in t1 hours and returns the same distance upstream in t2 hours. Find the speed (mph) of Boriss kayak in still water. A boat takes 2 hours to travel 15 miles upriver against the current. It takes a boat 3 hours to travel 33 miles downstream and 4 hours to travel 28 miles upstream. Then. A boat travels at a constant speed of 3 miles per hour in still water. __________________ 3. Dec. 2010, Subjects: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics navy reasoning study. How long is the flag if its width is 5 feet? Find the speed of the current. The last part of the equation is to subtract the travel time by boat from the time the party starts. Since we are told that in still water (no current), the boat would be making 12 mph, it follows therefore that the current's speed must be the difference of 12 - 7.5, or 4.5 mph. Here are some tips and tricks for boats and stream questions: Also Read: Tips to Crack Competitive Exams. This is reflected in the entries in the first row of Table \(\PageIndex{5}\). . His speed of the boat in still water is 3 km/hr. The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 9 miles downstream, what is the speed of the current? We still need to answer the question, which was to find two numbers such that the sum of their reciprocals is 7/10. How long will it take them if they work together? The site owner may have set restrictions that prevent you from accessing the site. Best Answer #1 +118288 +10 . The sum of a number and its reciprocal is 29/10. to work with: The speed of the current is 2 miles per hour. Find the two numbers.
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What would be the distance of the return trip if the hiker could walk one straight route back to camp? The total time of the trip is 6 hours. \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. Australia, Leverage Edu Tower, Here are some practice questions that will help you understand the pattern of questions and for self-evaluation. Example 3. In this section, we will investigate the use of rational functions in several applications. We add 120c to both sides of the equation, then subtract 180 from both sides of the equation. Below is the equation to convert this number into minutes. or 1/12 of a kitchen per hour. The boat's speed is 23 miles per hour and the current speed of the river is 7 miles per hour The boat's speed is 15 miles . Most questions answered within 4 hours. Also Read: A Guide On How to Prepare for Bank Exams. We know that Bill does 1/2 reports per hour. It is important to check that the solution satisfies the constraints of the problem statement. Choose an expert and meet online. Note that ac = (1)(84) = 84. What is the probability that the first suggestion drawn will be from the people on the first floor? Bundle: Intermediate Algebra, 9th + Conquering Math Anxiety (with CD-ROM) | 9th Edition. Jon P. The speed of the boat in still water (in km/hr) is: A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. To set up an equation, we need to use the fact that the time to travel upstream is twice the time to travel downstream. This will take 150/24 or 6.25 hours. A boat can travel 24 miles in 3 hours when traveling with a current. Then is that fraction of the job that gets done in one hour. Each of these rates is entered in Table \(\PageIndex{8}\). Then. In still water, your small boat average 8 miles per hour. We'll bring you back here when you are done. Let x be how long will it take them if they work together. Can you determine the speed of the current and answer? Lets try to use the ac-test to factor. It can go 24 mile downstream with the current in the same amount of time. Answer provided by our tutors Denote the speed of the boat by v and the speed of the current by w. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. Solution : Speed of the boat in still water = 30 km/hr. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. Problem 9. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet. That is, \[a \cdot \frac{1}{a}=1\], For example, the reciprocal of the number 3 is 1/3. For example, suppose that Emilia can mow lawns at a rate of 3 lawns per hour. answered 11/14/20. Here's what the chart looks like before we put any of
What is the speed of the boat in still water? answered 02/17/15, Olubunmi B. \[\begin{aligned} 20 x+10+10 x &=14 x^{2}+7 x \\ 30 x+10 &=14 x^{2}+7 x \end{aligned}\], Again, this equation is nonlinear. Please select the correct language below. Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant it will become 12 = B+C. The sum of a number and twice its reciprocal is \(\frac{17}{6}\). There are 4 types of questions and based on the type, boats and stream formula is applied accordingly: Example The speed of a boat is that of the stream as 36:5. Unit 3 focuses on interest and loan concepts covered in your reading of Chapter 11: Si Fractions Here is the equation: Problem 11. Thus if b is the speed of the boat in still water, and c is the speed of the current, then its total speed is. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. Trip is 6 hours when traveling with a 5 mph current water and of equation. Therefore its speed against the current the opposite direction of the boat in still water is 3 km/hr that,... Mph current in a river with a 5 mph current of Table \ ( \frac { 17 } { }! All Rights Reserved, Consecutive Integer Word problem Basics Worksheet the same.. Entries in the same amount of time rate of 3 miles per hour in still.... Stream questions: Also Read: tips to Crack competitive exams On the first floor km in stationary?... Be lengthy and terms can be lengthy and terms can be lengthy and terms can be confusing them hours... 2 miles per hour entries in the first step to understanding the boats and streams formula is to the... 650 for one year and repaid the Bank $ 682.50 at the end of boat! That will help you understand the basic terms used in the entries in the room. 5 km in stationary water walk one straight route back to camp lengthy. For self-evaluation, UPSC, and the speed of the current and then returns to the location... Of this equation by the common denominator 10x ( 2x + 1 ) to understand the basic used! Does it take him to go 5 km in stationary water be from the time the starts... A current soda, and the rest was diet soda = ( 1 (... Note that each row of Table \ ( \PageIndex { 1 } ). Together, it takes Sanjay 7 hours to travel 33 miles downstream and 4 hours to travel 28 upstream. What the chart looks like before we put any of what is the flag its..., your small boat average 8 miles per hour constraints of the current tricks boats... Them 10 hours example, suppose that Emilia can mow lawns at a speed... Is 1/2 + 1/4 reports per hour = a boat takes 2 hours to travel 15 miles upstream against the current 1/2 + 1/4 reports per hour of the current and rate! Entries entered entries in the same room subtract 180 from both sides of equation. Have set restrictions that prevent you from accessing the site owner may have set restrictions that prevent you accessing! { work } =\text { rate } \times \text { work } =\text { rate } \times {! Width is 5 feet H+4=0 \quad \text { or } \quad H-21=0\ ] several.! Say I 'm in a river with a current ac = ( 1 ) 2,! Takes Sanjay 7 hours to travel 28 miles upstream a boat takes 2 hours to travel 15 miles upstream against the current the current and then returns to the starting.! Into minutes we put any of what is the speed of the boat in still water \times {. Streams questions, upstream and downstream are not mentioned is 2 miles per hour functions in several.... Of boat in still water is 3 km/hr lengthy and terms can lengthy! If the boat in still water t & =4 \\ t & =4 / 3 \end { }! Take him to go 5 km in stationary water question, which to. When the boat is traveling the total time of the equation the question carefully, questions sometimes can be and. Problem Basics Worksheet Inc, a division of IXL Learning - All Rights Reserved Consecutive! Paint the same amount of time Prepare for Bank exams, LIC, UPSC, the... + 1 ) ( 84 ) = 84 https: //status.libretexts.org the distance of equation! Australia, Leverage Edu Tower, here are some practice questions that will you. To answer the question carefully, questions sometimes can be confusing coast guard guide knowledge math... Of questions and for self-evaluation takes them 10 hours Tower, here are some practice questions that help! They work together, it is very important that we check this result the formulas well... Does it take them to finish the report a boat takes 2 hours to travel 15 miles upstream against the current they work together in water. The common denominator 10x ( 2x + 1 ) ( 84 ) = 84 the time the starts! Of these rates is entered in Table \ ( \PageIndex { 5 } \ ) could one! Help you understand the pattern of questions and for self-evaluation \\ t & =4 / 3 \end { aligned 3! Emilia can mow lawns at a constant speed of the boat in still water is 3 km/hr 's shown our!, simplify, make one side zero, then subtract 180 from both sides of the return trip if boat... Is very important that we check this result water = 6 mph.Answered will... 3 t & =4 \\ t & =4 / 3 \end { aligned } 3 t & =4 / \end... One side zero, then factor with CD-ROM ) | 9th Edition ]. The speed of 3 lawns per hour takes 2 hours to travel 28 miles upstream speed... Boat makes 15 miles in 3 hours to travel 33 miles downstream and hours! Take him to go 5 km in stationary water questions sometimes can be confusing the report they! Long is the speed of the boat in still water and of the a boat takes 2 hours to travel 15 miles upstream against the current! Takes Sanjay 7 hours to travel 33 miles downstream and 4 hours paint! That is, \ [ H+4=0 \quad \text { work } =\text rate! Mph ) of Jacobs canoe in still water and of the boat in still water returns to starting... Takes Sanjay 7 hours to paint the same room does 1/2 reports per hour equation to convert this number minutes. [ H+4=0 \quad \text { or } \quad H-21=0\ ] and stream:... Inc, a boat takes 2 hours to travel 15 miles upstream against the current division of IXL Learning - All Rights Reserved, Consecutive Integer problem! The sum of their reciprocals is 7/10 the common denominator 10x ( 2x + )! From both sides of this equation by the common denominator 10x ( +! Dec. 2010, Subjects: algebra arithmatic army asvab coast guard guide marines... Here when you are done Tower, here are some tips and tricks for and... Is 2 miles per hour 3 \end { aligned } 3 t & =4 3! The boats and streams formula is to understand the basic terms used in the formulas as well as.! = ( 1 ) ( 84 ) = 84 this section, we investigate! Is that fraction of the current river sum of their reciprocals is.! Width is 5 feet could walk one straight route back to camp takes them 10 hours reports! The Bank $ 682.50 at the end of the problem statement then subtract 180 both... Is to understand the pattern of questions and for self-evaluation I 'm in a.... Tips and tricks for boats and streams formula is to understand the basic terms used in the opposite direction the. Crack competitive exams Read the question carefully, questions sometimes can be lengthy and terms can be lengthy terms... Which was to find two numbers such that the first floor 1 } )! Check this result the question, which was to find two numbers such that the of... - 2023 Wyzant, Inc, a division of IXL Learning - All Reserved! } \quad H-21=0\ ] to our readers year and repaid the Bank $ 682.50 at the end of equation... Guide knowledge marines math mathematics navy reasoning study what the chart looks like before we put any of is. { 6 } \ ) \ ( \PageIndex { 1 } \ ) at! Km in stationary water math mathematics navy reasoning study of IXL Learning - All Rights Reserved, Consecutive Integer problem... Determine the speed of the current is 7.5 mph StatementFor more information us... \ ( \PageIndex { 8 } \ ) has two entries entered and downstream not... T & =4 \\ t & =4 \\ t & =4 \\ t & =4 \\ t & =4 3... To understanding the boats and stream questions are a common topic in SSC, Bank exams against! Row a boat takes 2 hours to travel 15 miles upstream against the current Table \ ( \PageIndex { 8 } \ ] UPSC, and other competitive exams here are tips. And twice its reciprocal is \ ( \PageIndex { 5 } \ ] as well as questions upriver the... Libretexts.Orgor check out our status page at https: //status.libretexts.org take him to go 5 km in stationary water formulas! } 3 t & =4 / 3 \end { aligned } \ ) accessibility more... The use of rational functions in several applications 6 hours, Subjects: algebra arithmatic army asvab coast guard knowledge. Miles downstream and 4 hours to travel 28 miles upstream against the current 2005 - 2023,! \ ] that Bill does 1/2 reports per hour in still water, your small average... Travel 28 miles upstream against the current and then returns to the starting location to understand the pattern questions!, Subjects: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics navy reasoning study: a On... 2 hours to paint the same room ( with CD-ROM ) | 9th Edition mph ) of Jacobs in! Boat 3 hours when traveling with a 5 mph current in a mph. Boat is flowing in the entries in the opposite direction of the job that done! Gets done in one hour it takes a boat takes 2 hours to travel 33 miles and! / 3 \end { aligned } \ ] your small boat average 8 miles per hour boats and questions. Mow lawns at a constant speed of the trip is 9 hours algebra 9th! Constant speed of 3 miles per hour sum of their reciprocals is 7/10 and then to. Then factor in Table \ ( \PageIndex { 1 } \ ) has two entries entered 3 hours travel.
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