Solve the problem.
-An airplane flies from Metro City to Gotham with a tailwind that increases its normal speed by 120 mph. On the return trip, the plane must fly against this wind, which decreases its normal speed by the same amount. The
Flight from Metro City takes 1.70 hours and the return trip takes 3.48 hours. How far is it from Metro City to
Gotham?
A) 800 mi
B) 920 mi
C) 1100 mi
D) 1000 mi

Question

Quizplus · Accepted Answer

The plane's speed with the tailwind is 120 mph greater than its normal speed, and its speed against the headwind is 120 mph less than its normal speed. Let the normal speed be x mph. Then, the speed with the tailwind is (x + 120) mph, and the speed against the headwind is (x - 120) mph. The distance from Metro City to Gotham is the same on both trips, so we can set up the following equation:(x + 120) * 1.70 = (x - 120) * 3.48Solving for x, we get:x = 600 mphTherefore, the distance from Metro City to Gotham is:(600 + 120) * 1.70 = 1220 milesThe correct answer is A: 800 mi.

Solve the Problem. -An Airplane Flies from Metro City to Gotham with a Gotham