Needs Rate of scooter and bike

Question

A motor scooter travels 1818 mi in the same time that a bicycle covers 88 mi. If the rate of the scooter is 55 mph more than twice the rate of the bicycle, find both rates.

Answer 1

t = travel time of both (the same for both)

 

v = bicycle speed

2v + 5 = scooter speed

 

vt = 8

(2v + 5)t = 18

 

t = 8/v

 

(2v + 5)(8/v) = 18

 

16v + 40 = 18v

 

2v = 40

v = 20

2v + 5 = 2(20) + 5 = 45

 

Scooter speed: 45 mph

Bicycle speed: 20 mph

 

You can also get the travel time.

 

t = 8/v = 8/20 = 0.4 hrs