It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?

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ishankkr ishankkr

25-10-2017
Mathematics

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It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?

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Kalahira Kalahira · Answer 1 · 2017-11-04T13:48:13+01:00

First we should find the speed of the bus. v = distance / time v = 36 miles / 40 min v = 0.9 miles per minute The car move 1.5 times as fast as the bus. The speed of the car is (1.5) (0.9 mi / min) = 1.35 mi / min The combined speed of the bus and the car is 2.25 mi / min. That means that they cover a combined distance of 2.25 miles each minutes. We can find the time it takes to cover 36 miles. time = 36 miles / (2.25 miles / min) time = 16 minutes The car and the bus will meet after 16 minutes.