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?

_hours

The truck can cover 145 miles in 2.5 hours, so the speed of the truck is

145:2.5=58 miles per hour

the car's speed is 1.5 times faster: 58*1.5=87 miles per hour

suppose in x hours they will meet:

distance covered by truck in x hour: 58x

distance covered by car in x hour: 87x

total distance: 145 miles

58x+87x=145

x=1