Question

A boat covers 24 km upstream and 36 km downstream in 6 hours and 36 km upstream and 24 km downstream in 6½ hours. Find the speed of current.​

Answer 1

In the second case, their relative speed=x−y upstream & x+y downstream..

UPSTREAM-

The distance=36km.

So the time taken=

The distance=24km.

So the time taken=

Now we have assumed that x−y=a & x+y=b.

Then the above equation becomes

36a+24b=

So the speed of the current=2km/hr.