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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?

asked
User McGin
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1 Answer

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The speed at which the distance is covered by the two vehicles is the sum of their speeds:

... (truck speed) + 1.5×(truck speed) = 2.5×(truck speed)


The time required to cover the distance is inversely proportional to speed, so is

... (2.5 hours)/2.5 = 1.0 hours


It takes 1.0 hours for the vehicles to meet.


_____

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

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

The speed at which they move toward each other is

... 58 mi/h + 87 mi/h = 145 mi/h

So, the time it takes to cover 145 miles is

... (145 mi)/(145 mi/h) = 1.0 h

answered
User Danny Kim
by
9.0k points

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