Problema Solution
A truck can travel
240 miles in the same time that it takes a car to travel
320 miles. If the truck's rate is
10 miles per hour slower than the car's, find the average rate for each.
Answer provided by our tutors
Let
t = speed of the truck
c = speed of the car
Truck's rate is 10 mph slower than the car's means:
t = c - 10
Since average rate equals total distance divided by the time we have time equals distance divided by average rate, or:
240/t = 320/c cross-multiply
320t = 240c divide both sides by 80
4t = 3c
We have the following system of equations:
t = c - 10
4t = 3c
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t = 30 mph
c = 40 mph
Tpeed of the car is 40 mph and speed of the truck is 30 mph.