Question

The distance between two cities is 145 miles. A truck can cover this distance in 2.5 hours. The speed of a car is 1.5 times faster than the speed of the truck. How long does it take them to meet, if they start moving towards each other simultaneously?

Answer 1

It's known that Speed = Distance/Time. The truck can cover the distance of 145 miles in 2.5 hours. So its speed is 145/2.5 = 58 mi/hr. The speed of the car is 1.5 faster than the speed of the track. So the speed of the car is 58*1.5 = 87 mi/hr.  

Let t = amount of time, in hours, it takes them to meet.

The distance that the truck travels in t hours would be 58t miles.
The distance that the car travels in t hours would be 87t miles.
In total they cover the whole distance when they meet. So we get

58t + 87t = 145
145t = 145

Divide both sides by 145:
t = 1

Thus it takes them 1 hour to meet.