Question

A river flows due east at 3.0 m/s. A boat crosses the 300-m-wide river by maintaining a constant velocity of 10 m/s due north relative to the water. If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?

Answer 1

Answer:90 m

Explanation:

Given

Velocity of river= 3m/s due to east

Velocity of boat w.r.t to river =10 m/s due to north

width of river=300 m

velocity of boat helps crossing the width of river in t

$t=\frac{300}{10}=30 s$

in 30 s horizontal distance traveled by boat is

$R=3\times 30 =90 m$