A ship sails 30km of a river towards upstream in 6 hours How long will it take to cover the sam...........

Quantitative Aptitude ( CCS) Boats and Streams

A ship sails 30km of a river towards upstream in 6 hours. How long will it take to cover the same distance downstream. If the speed of the current is (1/4)rd of the speed of the boat in still water.

2 hrs

4.5hrs

5 hrs

3.6hrs

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Explanation:

Solution:
Let x be speed of the boat and y be the speed of the current.
Downstream speed = x + y
Upstream speed = x – y
x –y = 30/6 = 5 km/hr.
Now,
x = 4y
x – y = 4y – y = 3y
=> x = (20/3)km/hr and y = (5/3)km/hr
Therefore, x + y = (25/3) km/hr.
Time during downstream = 90/25 =3.6 hrs.