Question

A truck can travel 150 miles in the same time that it takes a car to travel 175 miles if the trucks rate is 5 mph slower than the cars find the average rate for each

Answer 1

Answer:
`30, 35\ mph`

Explanation:

Given

Truck can travel 150 miles while car can travel 175 miles in same time

If the speed of truck is 5 mph slower than the car

Suppose the speed of car is
`x\ mph`, speed of truck would be
`x-5`

For same time

`\Rightarrow (150)/(x-5)=(175)/(x)\\\\\Rightarrow 6x=7(x-5)\\\Rightarrow 6x=7x-35\\\Rightarrow x=35\ mph`

Speed of truck is
`x-5=30\ mph`

Speed of car
`x=35\ mph`