One plane can travel 30 miles per hour faster than another. One of them goes 300 miles in the same time it takes the other to go 255 miles. What are their speeds?
A) 150 mph; 180 mph
B) 180 mph; 210 mph
C) 190 mph; 220 mph
D) 170 mph; 200 mph
E) 200 mph; 230 mph

Question

Quizplus · Accepted Answer

The relationship between distance, speed, and time is given by the formula distance = speed × time. Let the speed of the slower plane be x miles per hour. Then the speed of the faster plane is x + 30 miles per hour. Since they travel for the same amount of time, we can set up the equation 300/(x + 30) = 255/x. Solving for x gives us the speed of the slower plane as 170 mph, and the faster plane as 200 mph.

One Plane Can Travel 30 Miles Per Hour Faster Than