Problema Solution
A car and a motorcycle both leave from the same point and travel in the same direction, the car travels at an average of 55mph and the motorcycle at 40 mph. How long will it take before the vehicles are 5 miles apart?
Answer provided by our tutors
distance = speed * time
time = distance / speed
let 'd' represent the distance driven by the motorcyle, then 'd+5' represents the distance driven by the car
they travel the same amount of time, so we set their distance/speed expressions equal to each other:
d/40 = (d+5)/55
solving for 'd' we have d=13 1/3
the motorcycle drives 13 1/3 miles at 40 mph:
(13 1/3)/40 = 1/3
1/3 * 60 = 20
the vehicles will be 5 miles apart in 20 minutes