Problema Solution
a motor scooter travels 24 min in the same time that a bicycle covers 10 mi. if the fate of the scooter is 4 mph more than twice the rate of the bicycle,find both rates.
Answer provided by our tutors
let
s = the rate of the scooter
b = the rate of the bicycle
the rate of the scooter is 4 mph more than twice the rate of the bicycle
s = 4 + 2b
motor scooter travels 24 mi in the same time that a bicycle covers 10 mi
24/s = 10/b both sides multiply by s*b
24b = 10s
by solving the system of equations
s = 4 + 2b
24b = 10s
we find
s = 24 mph
b = 10 mph
click here to see the step by step solution of the system of equations
the rate of the scooter is 24 mph.
the rate of the bicycle is 10 mph.