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A train leaves the station at 9:00 pm traveling east at 36 miles per hour a second train leaves the station at 10:00 pm traveling west at 42 miles per hour at what time will both trains have traveled the same distance

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Ckaranja

Add the time they arrive at the common to individual starting points.
9.00 +\(\frac{x}{36} =10.00 + \frac{x}{42}\)
put the like terms together;
10.00 - 9.00=\(\frac{x}{36} - \frac{x}{42}\)
1=\(\frac{42x-36x}{36*42}\)
1=\(\frac{6x}{36*42}\)
6x=36*42
x=\(\frac{36*42}{6}\)
x=252 miles

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