Question

A boat goes 12 km upstream and 40 km downstream in 8 hours. I can go 16 km upstream and 32 km downstream in the same time. Find the speed of the boat in still water and the speed of the stream.

Answer 1

We have to find the speed of the boat in still water and speed of the stream

Let the speed of the boat in still water be km/hr and the speed of the stream be km/hr then

Speed upstream

Sped down stream

Now, Time taken to cover km upstream =

Time taken to cover km down stream =

But, total time of journey is 8 hours

Time taken to cover km upstream =

Time taken to cover km down stream =

In this case total time of journey is given to

...(ii)

By and in equation (i) and (ii) we get

Solving these equations by cross multiplication we get

and

and

Now,

and

By solving equation and we get,

By substituting in equation we get

Hence, the speed of boat in still water is ,

The speed of the stream is.