Problema Solution
A truck enters a highway driving 60 mph. A car enters the highway at the same place 5 minutes later and drives 72 mph in the same direction. From the time the car enters the highway, how long does it take the car to pass the truck?
Answer provided by our tutors
First, we need to convert 5min to hours because this is the units that the rates are in:
5min=5min(1hour/60min)=1/12 hour
Using the general equation d=rt (distance=rate*time), we can write the following:
Truck
d=60(t)
Car
d=72(t-1/12)
Where 'd' is the distance that both vehicles go, 't' is the time of the truck, and 't-1/12' is the time of the car.
Using Algebrator to solve for 'd' and 't', we get:
d=30 miles
t=0.5 hours
Therefore, it takes the car .5 hours, or 30min, to pass the truck.