Word problems that lead to equations with fractions (2) - A complete course in algebra

Boat travel upstream and downstream problems and 1 : Speed of boat in still water and speed of stream are given separately. Correct answer : b Hint: In downstream, water stream increases the speed of boat as they snd are along the same directions. Hence, both the speeds are added. Find a speed of stream b speed of boat in still water. Find the distance covered by the boat between two points.

Next Page abd. If there's no mention of stream speed in the question, assume it to be the speed of boat in still water. So, water stream increases the speed of boat. Hence, speeds are added while going downstream. Prblems, water stream decreases the speed of boat due to opposite flow. Hence, speeds are subtracted while going ajd. If you just remember this concept, you won't need to remember and recall the above formula while solving the problems.

Halving this would give you the speed boat travel upstream and downstream problems and the current. Once you know how to deal with these 4 types of problems, the chapter should be an easy one for you.

Question Variety: Type 1 : Speed of boat in still water and speed of stream nad given separately. Boat travel upstream and downstream problems and or Mixtures - Aptitude test, questions, shortcuts, solved example videos Alligation or Mixtures - Quantitative aptitude tutorial with easy tricks, tips, short cuts explaining the concepts.

Online aptitude preparation material with practice question bank, examples, fravel and explanations. Very useful for freshers, engineers, software dodnstream taking entrance exams.

Learn and take practice tests! Problems on Trains - Aptitude test, questions, shortcuts, solved example videos Problems on Trains - Quantitative aptitude tutorial with easy tricks, tips, short cuts explaining the concepts. Time and Distance - Aptitude test, questions, shortcuts, solved example videos Time and Distance - Quantitative aptitude tutorial with easy tricks, tips, short cuts explaining the concepts.

F and L. Find a speed of stream b speed of boat in still water Examples: Q 3. What would be the speed of swimmer in still water? Examples: Q 5. What would be the average speed of boat during the journey?

Examples: Q 7.

Make point:

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Sailor C. A man rows to a place The total time taken by him is A. A man rows down a river 15 km in 3 hrs. The rate at which he rows in still water is A. A sailor goes 12 km downstream in 48 minutes and returns in 1 hour and 20 minutes. The speed of the sailor in still water is : A. A man rows a boat 18 kilometres in 4 hours downstream and returns upstream in 12 hours.

The speed of the stream in km per hour is : A. A boat goes 8 km in one hour along the stream and 2 km in one hour against the stream. A swimmer swims from a point A against a current for 5 minutes and then swims backwards in favour of the current for the next 5 minutes and comes to the point B. Two boats A and B start towards each other from two places, km apart.

If A proceeds down and B up the stream, they will meet after : A. A man goes downstream with a boat to some destination and returns upstream to his original place in 5 hours. If the boat takes 3 hours to go to a place and come back, the distance of the place is A. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes.

Find the speed of the boat in still water. A boat goes 30 km upstream and 44 km downstream in 10 hrs. In 13 hrs, it can go 40 km upstream and 55 km downstream, then the speed of the boat in still water is A. Skip to content.

None of these 5. None of these 6. Data inadequate Ratio and Proportion. Profit And Loss. Simple Interest. Compound Interest. Time and Work.

Time Speed and Distance. Problems on Trains. Height and Distance. Chain Rule. You have to remember a very simple formula as shown below.

Find the speed of the boat in still water. Solution: From the question, you can write down the below values. You have to substitute the above values in the below formula. This type is similar to type 1. But there is one difference. Here you have to find speed of stream and not the speed of the boat. You have to use the below formula to find speed of stream. Example Question 2: A man rows downstream 30 km and upstream 12 km.

If he takes 4 hours to cover each distance, then the velocity of the current is:. Solution: In this question, downstream and upstream speeds are not given directly.

Hence you have to calculate them first. Step 3: Calculation of speed of stream You have to substitute values got in steps 1 and 2 in below formula to find the speed of the stream. In this type, you have to find distance of places based on given conditions. Below example will help you to understand better. If in a river running at 2 km an hour, it takes him 40 minutes to row to a place and return back, how far off is the place?

The man rows to a particular place and comes back. You have to calculate the distance of this place. Let this distance be X. See the below diagram to understand clearly. Man starts from A, travels to B and comes back. Therefore, above equation becomes,. Also we have calculated downstream and upstream speeds at the start see values 1 and 2. In question, you can see that the man takes 40 minutes to travel to B and come back to A.

You have to convert this to hours and apply in above equation. We are converting from minutes to hours because we are using speed values in km per hour units.

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