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In a river, the ratio of the speed of the stream and the speed of a boat in still water is 5 : 7. Again, the ratio of the speed of the stream to the speed of another boat in still water is 6 : 8. What is the ratio of the speed of the first boat to that of the second boat in still water?

27 : 29
21 : 20
27 : 28
19 : 17
Explanation:

For the first boat let the speed of the stream be 5x and the speed of the boat be 7x.


For the 2nd boat, let the speed of the stream be 6y and the speed of the 2nd boat be 8y.


The speed of the stream will be the same.


∴ 5x = 6y

or x=6/5 y

Now, the required ratio of the speed of the first boat to that of the second boat = 7x : 8y

7*6/5y : 8y

[Putting x in terms of y]

y:
Additional Questions

Two boats A and B start towards each other from two places, 150 km apart. Speed of the boat A and B in still water are 16 km/hr and 14 km/hr respectively. If A proceeds down and B up the stream, they will meet after.

Answer

Amit goes Mumbai to Kolkata by sea route. The speed of the boat in still water is 60 km/h and speed of the current is 15 km/h. After reaching Kolkata he stayed there for 20 minutes and after that come back by same boat. The time taken by him in this journey is 19 hours 32 minutes, find the distance travel by him in one side.

Answer

Distance between a point of A and point B in a river is 12 km and the flow of the stream is from A to B. If the speed of the boat is 4 km/h and speed of the stream is 2 km/h. The boat goes from B to A and then comes back. What is the distance between point A and the boat after 7 hours of travel since the time of starting?

Answer

A steamer can go 12 km in still water in 25 minutes. One day, it went 11.25 km upstream and returned the same distance in downstream. If the difference between the time taken to travel upstream and downstream was 12.5 minutes, then what was the speed of stream in km per hour?

Answer

A boat travels upstream from point A to B in 5 hours. What is the distance between A and B, if it takes 2.5 hours to travel downstream from point B to A and speed of stream is 1 km per hour?

Answer

Meera covers 20 km upstream in 600 minutes and she also covers 60 km downstream in 5 hours. Then find the rate of current of the river.

Answer

If the ratio of speed of boat in downstream and speed of stream is 9 : 1, speed of current is 3 km per hr, What would be the distance travelled in upstream by the boat in 5 hours?

Answer

The speed of a boat along the stream is 8 km/h and against the stream is 6 km/hr. The time taken by the boat to sail 28 km in still water is

Answer

Ratio between speed of boat in still water to speed of stream is 5 : 2. If 224 km is travelled by downstream in 4 hours then find the difference between speed of boat in still water and speed of stream?

Answer

In a river, the ratio of the speed of the stream and the speed of a boat in still water is 5 : 7. Again, the ratio of the speed of the stream to the speed of another boat in still water is 6 : 8. What is the ratio of the speed of the first boat to that of the second boat in still water?

Answer
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