Question

a motor scooter travels 18 mi in the same time that a bicycle covers 8 mi. If the rate of the scooter is 5 mph more than twice the rate of the bicycle, find both rates.

Answer 1

If you would like to find the rate of the bicycle and the scooter, you can do this using the following steps:

a scooter: 18 miles ... 2 * r + 5 mph
a bicycle: 8 miles ... r = ? 

18 * r = 8 * (2 * r + 5)
18 * r = 16 * r + 40
18 * r - 16 * r = 40
2 * r = 40
r = 20 mph

a bicycle: r = 20 mph
a scooter: 2 * r + 5 mph = 2 * 20 + 5 = 45 mph

The correct result would be: The rate of the scooter is 45 mph and the rate of the bicycle is 20 mph.