Question

a motor scooter travels 12 mi in the same time that a bicycle covers 5 mi. If the rate of the scooter is 2 mph more than twice the rate of the bicycle, find bith rates.​

Answer 1

Explanation:

let the rate of travel of bicycle=x m/h

rate of travel of motor scooter=2x+2

time taken by motor scooter to travel 12 mi=12/(2x+2) hrs.

time taken by bicycle to travel 5 mi=5/x

as time is same

`(12)/(2x+2)=5/x\\12x=5(2x+2)\\12x=10x+10\\12x-10x=10\\2x=10\\x=10/2=5\\rate~ of~ travel~ of~bicycle=5 m/h\\rate~ of~ travel~ of~ motor~ scooter=2x+2=2 * 5+2=12 ~m/h`