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Let x be the rate of the slower train, in mph; then the rate of the faster train is (x+16).
The distance traveler by the slower train in 3 hours is 3x miles;
the distance traveler by the faster train in 3 hours is 3*(x+16) miles.
The total distance is the sum of these values
3x + 3*(x+16) = 570 miles.
Simplify and solve for x:
3x + 3x + 48 = 570,
6x = 570 - 48 = 522,
x = = 87.
ANSWER. The slower train rate is 87 mph; the faster train rate is 87+16 = 103 mph.
CHECK. 3*87 + 3*103 = 3*(87+107) = 3*190 = 570 miles. ! Correct !
Solved.
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