Question

a truck traveling at an average rate of 45 miles per hour leaves a rest stop. fifteen minutes later a car traveling at an average rate of 60 miles per hour leaves the same rest stop traveling the same route. how long will it take for the car to catch up with the truck?

Answer 1

t = 3/4 hour or 45 minutes

Explanation:

Answer 2

`Distance = speed\ * time`
Distance traveled by truck before car starts = 45/4 miles.
Let t be the time it takes for the car to catch up:

`(45)/(4)+45t=60t`

`15t=(45)/(4)`
t = 3/4 hour or 45 minutes.