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Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 10 mph faster than the other. In 1.5 hours, the trains are 153 miles apart. Find the
Will Prescott
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Jul 19, 2023
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Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 10 mph faster than the other. In 1.5 hours, the trains are 153 miles apart. Find the speed of each train.
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Will Prescott
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Let’s cal the velocity of the slower train v
Then in 1.5 hours it will travel 1.5v miles
The distance traveled by the faster train is 1.5(v + 10) = 1.5v + 15 miles
So 1.5v + 1.5v + 15 = 153
3v = 153 - 15
v = 138 / 3 = 46 mph
The slower train has an average speed of 46 mph and the faster train 56 mph
VFein
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Jul 23, 2023
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