Question

A boat crossing a 153.0 m wide river is directed so that it will cross the river as quickly as possible. The boat has a speed of 5.70 m/s in still water and the river flows uniformly at 4.90 m/s. Calculate the total distance the boat will travel to reach the opposite shore.

Answer 1

Answer:

201.76266192 m

Explanation:

Distance traveled in the horizontal direction = 153 m

In the vertical direction the distance traveled

$\dfrac{4.9\times 153}{5.7}=131.526315789\ m$

Total distance from pythagoras theorem

$d=\sqrt{153^2+(\dfrac{4.9\times 153}{5.7})^2}\\\Rightarrow d=201.76266192\ m$

The total distance the boat will travel to reach the opposite shore is 201.76266192 m