Question

A truck leaves point A traveling 60 mph. After two hours, a car leaves point A traveling 90 mph and follows the truck's route. At what distance from point A will the car catch up with the truck?

Answer 1

The car catches up with the truck after a distance of 360 miles from point A.

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

For truck:

60 = d / t

d = 60t

Since the car leaves the truck after 2 hours, hence:

For the car:

90 = d/ (t - 2)

d = 90t - 180

For the truck and car to catch up:

60t = 90t - 180

30t = 180

t = 6 hours

d = 60t = 60(6) = 360 miles

The car catches up with the truck after a distance of 360 miles from point A.

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