The distance between two cities is 145 miles. a truck can cover this distance in 2.5 hours. a car is 1.5 times as fast as the truck. how long does it take them to meet, if they start moving towards each other simultaneously? pls

1 hour

Step-by-step explanation:

The speed ratio is ...

... truck : car = 1 : 1.5

Then the ratio of truck speed to the sum of their speeds is ...

... truck : combined = 1 : (1+1.5) = 1 : 2.5

Since time is inversely proportional to speed, the two vehicles will meet after 1/2.5 times the time the truck takes to cover the distance. That is ...

... (2.5 hours)/2.5 = 1 hour

The truck speed is 145 mi/(2.5 h) = 58 mi/h.

The car speed is 1.5 × 58 mi/h = 87 mi/h.

Their combined speed is 58 + 87 = 145 . . . . mi/h.

So, they will cover the 145 mile distance in 1 hour.

2x^2+5x+17

your welcome. : )