Problema Solution

a truck enters a highway driving 60 mph. a car enters the highway at the same place 8 minutes later then drives 75 mph in the same direction. from the time the car enters the highway, how long will it take the car to pass the truck

Answer provided by our tutors

8 min = 8/60 hours


let


t = the time that the truck spent of the highway before the meet up with the car

t - 8/60 = the time that the car spent on the highway before it passed the truck


since speed = distance/time = > distance = speed*time


60*t = 75*(t - 8/60)


by solving we find


t = 2/3 hours


t = 2*60/3 = 40 min


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the car will pass the truck in 40 - 8 = 32 minutes.