Question

An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48 minutes going against the wind, and 2 on the return flight going with the wind, find the speed of the wind

Answer 1

Answer:

25 mph

Explanation:

When you travel against the wind your total velocity is your initial velocity minus velocity of the wind, but when you travel with the wind total velocity is the sum of both velocities.

note that distance is a constant, so you can write x=vt where  x is the distance, v is total velocity and t is the time.

the distance is the same:

x=(Vairplane-Vair).t1 when you go against the wind

x=(Vairplane+Vair).t2 when you go with the wind

(Vairplane-Vair).t1 = (Vairplane-Vair).t2

t1= 2h+48min = $2h+(48min.\frac{1h}{60min} )= 2h+0.8h = 2.8h$

(150mph-Vair).2.8 =(150mph+Vair).2

420mi-2.8Vair = 300mi+2Vair

4.8Vair=120mi

Vair=120mi/4.8h=25mph