Question

24. A boat goes 6 km an hour in still water, it takes thrice as much time in going the same
distance against the current comparison to the direction of the current. Find the speed of the
current.
A) 3km/hr
B) 5km/hr
C) 8km/hr.
D) 9km/hr​

Answer 1

Let the velocity of the boat be v km/h and velocity of the current be u km/h.

When the boat goes in still water, its velocity is v=6 km/h.

When the boat goes against the current, its velocity is v-u=(6-u) km/h.

For distance S, time taken in still water to cover the distance = S/6 hous

For same distance S, time taken while going against the current = S/(6-u) hours.

According to given, S/(6-u) = 3*(S/6)

=> 1/(6-u) = 1/2

=> 6-u = 2

=> u=4 km/h.

So, the speed of the current is 4 km/h.

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