Question

It takes a plane two hours to fly from Detroit to New York and only an hour and thirty minutes to return. If the wind speed is 25 mph. How far apart are the two cities?

Answer 1

d=distance in miles   a= plane's airspeed in mi/hr

d=2(a-25)=1.5(a+25)

2a-50=1.5a+37.5

0.5a=87.5

a=175mi/hr

Plug 175 into the expression above:

2(175-25)=2*150=300

d=300 miles