Problema Solution
A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.
Answer provided by our tutors
let
v = the speed of the motorcycle
2v - 30 = the speed of the car
t = 2 hr the time of the travel
since speed = distance/time follows distance = time*speed
2(2v - 30) - 2v = 20
by solving we find:
v = 40 mph
click here to see the step by step solution of the equation:
2*40 - 30 = 80 - 30 = 50 mph
the speed of the car is 50 mph.
the speed of the motorcycle is 40 mph.