Question

A motor scooter travels 14 mi in the same that a bicycle covers 5 mi. If the rate of the scooter is 4mph more than twice the rate of the bicycle, find both rates

Answer 1

We observe that 14 is 4 more than twice 5.

The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.