Problema Solution

a truck can travel 220 miles in the same time that it takes a car to travel 260 miles. If the trucks rate is 10 miles per hour slower than the cars, find the average rate for each

Answer provided by our tutors

Let


v = the rate of the truck, v>0


v + 10 = the rate of the car


d1 = 220 mi the distance of the truck


d2 = 260 mi the distance of the car


Since speed = distance/time follows time = distance/speed


d1/v = d2/(v + 10)


220/v = 260/(v + 10)

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v = 55 mph


v + 10 = 55 + 10 = 65 mph


The average rate of the truck is 55 mph.


The average rate of the car is 65 mph.