Acar and a truck are moving in the same direction on the same highway. the truck is moving at 50mph and car is traveling at a constant speed. at 3: 00pm, the car is 30miles behind the truck and at 4: 30pm the car overtake and passes the truck. what is the speed of the car?

70 mph

Explanation:

We can write the position of the car at time t as

where is the speed of the car, while the position of the truck is

where

is the initial distance between the car and the truck (at 3:00 pm)

is the speed of the truck

The car overcomes the truck when they have same position, so

This occurs at 4:30 pm, so 1:30 h (1.5 h) after the initial instant. So, by using

t = 1.5 h

And solving the equation for , we find the speed of the car:

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