Two small planes start from the same point and fly in opposite directions. The first plane is flying 55 mph slower than the second plane. In 2 h, the planes are 510 mi apart. Find the rate of the faster plane.
A) 130 mph
B) 155 mph
C) 135 mph
D) 161 mph
E) 160 mph

Question

Quizplus · Accepted Answer

The combined speed of both planes is 510 miles / 2 hours = 255 mph. Let the speed of the faster plane be x mph. Then the slower plane's speed is x - 55 mph. So, x + (x - 55) = 255. Solving for x gives x = 155 mph.

Two Small Planes Start from the Same Point and Fly