A metra commuter train leaves union station at noon 2 hour l

A metra commuter train leaves union station at noon. 2 hour later , an Amtrak train leaves on the same track, traveling at an average speed that is 50 m/ph faster than the metra train. at 3 pm the amtrak train is 10 miles behind the commuter train. How fast is each going?
Thanks for the help

Solution

A metro commuter train leaves union station at noon.
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2 hours later an Amtrak train leaves on the same track, traveling at an average speed that is 50 m/ph faster than the metro train.
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at 3 pm the amtrak train is 10 miles behind the commuter train. How fast is each going?
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Amtrak DATA:
rate = x+50 mph ; time = 1 hr. ; distance = tr = x+50 miles
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Metro DATA:
rate = x mph ; time = 3 hr. ; distance = tr = 3x miles
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Equation:
Metro dist. - Amtrak dist. = 10 miles
3x - (x+50) = 10
2x - 50 = 10
2x = 60
x = 30 mph (speed of the Metro train)
x+50 = 80 mph (speed of the Amtrak train