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Two trains leave stations 196 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 65 miles per hour. How long will it take for the two trains to meet?

 Dec 9, 2016
 #1
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The relative speed of the trains is 75+65 → 140 mph, so this is the same as asking how long does it take a train travelling at 140mph to travel 196miles.  This is 196/140 hours or 1.4 hours or 1 hour 24 minutes.

 Dec 9, 2016
 #2
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75t + 65t =196, solve for t

t =7/5 =1.4 hours =1 hour and 24 minutes, when they will meet.

1.4 x 75 =105 miles travelled by the fater train

1.4 x 65 =91 miles travelled by the slower train.

 Dec 9, 2016

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