Question

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?

Answer 1

Answer:

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,

= $10+1.50$

= $11.5 \ m/s$

Travelling such distance for 300 m will be:

⇒ $v = \frac{d}{t} \ sot \ t$

      $=\frac{d}{v}$

On putting the values, we get

      $=\frac{300}{11.5}$

      $=26.08 \ s$

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

= $10-1.50$

= $8.5 \ m/s$

Travelling such distance for 300 m will be:

⇒ $v=\frac{v}{t} \ sot \ t$

      $=\frac{d}{v}$

On putting the values, we get

      $=\frac{300}{8.5}$

      $=35.29 \ s$

hence,

The time taken by the boat will be:

= $26.08+35.29$

= $61.37 \ s$