A boat moves through the water of a river at 10m/s relative to the water, regardless of the boat ‘s direction . If the water in the river is flowing at n1.50m/s , how long does it take the boat to make a round trip consisting of of 300m displacement downstream followed by a 300m displacement upstream?

The appropriate solution is "61.37 s".

Explanation:

The given values are:

Boat moves,

= 10 m/s

Water flowing,

= 1.50 m/s

Displacement,

d = 300 m

Now,

The boat is travelling,

=

=

Travelling such distance for 300 m will be:

⇒

On putting the values, we get

Throughout the opposite direction, when the boat seems to be travelling then,

=

=

Travelling such distance for 300 m will be:

⇒

On putting the values, we get

hence,

The time taken by the boat will be:

=

=

it is a negative acceleration