Question

An airplane that travels 550 mph in still air encounters a 50​-mph headwind. how long will it take the plane to travel 1250 mi into the​ wind?

Answer 1

As the headwind comes at the head of the plane, therefore 50 mph headwind slows the plane down.

Thus actual speed of plane with headwind, $v=550- 50=500 mph$

Now using the formula , $velocity= \frac{distance}{time}$

 $500 mph = \frac{1250 mile}{time}$

$time = \frac{1250 mil}{500 mph}$

$time = 2.5 hour$

Hence plane will take time to complete the distance 1250 mile in 2.5 hours