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two trains leaves stations 320miles apart at the same time and travel toward eachother. One train travels at 110 miles per hour while the other travels at 90miles per hour. How long will it take for the two trains to meet.

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musiclover10045

x/110 = (320-x)/90

 Cross multiply

90x = 35200-110x

200x=35200

X = 35200/200 = 176 (distance traveled by train going 110 mph

176/110 = 1.6 hours = 1 hour and 36 minutes

 

Check: 110*1.6 = 176, 90*1.6 = 144

176+144 = 320

it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet