Question

a boat takes thrice as much time to cover 40 km up the stream as in going 40 km down the stream. if the speed of the boat is 6 kmph, find the speed at which water is flowing

Answer 1

Answer:

the speed of the water is 3 kmph.

Step-by-step explanation:

In the question,

Let us say time taken by boat to cover the distance downstream = t

So,

Time taken in upstream = 3t

Distance travelled = 40 km

Speed of the boat = 6 km/hr.

Let us say the speed of the water be = s km/hr

As,

Distance = Speed x Time

So,

Speed in upstream = (6 - s) km/hr

Speed in downstream = (6 + s) km/hr

So,

40 = (6 - s) x 3t ..........(1)

and,

40 = (6 + s) x t ...........(2)

So,

From these equations we get,

(6-s)3t=(6+s)t

18-3s=6+s

s=12÷4

s=3

Therefore, the speed of the water is 3 kmph.