Question

A car travels 237 miles in the same time that a motorcycle travels 207 miles. If the​ car's speed is 10 miles per hour more than the​ motorcycle's, find the speed of the car and the speed of the motorcycle.

Answer 1

speed of motorcycle = x

speed of car = X +10

travel time = distance / speed

car travel time = 237 /(x+10)

motorcycle travel time = 207/x

set them to equal each other:

237/x+10 = 207/x

cross multiply:

237x = 207(x+10)

distribute the right side:

237x = 207x + 2070

subtract 207x from both sides:

30x = 2070

divide both sides by 30:

x = 2070 / 30
x = 69

speed of motorcycle was 69 miles per hour
speed of car was 69 +10 = 79 miles per hour