SOLUTION: Two trains going in opposite directions leave at the same time. Train B travels 15 mph faster than train A. In 8 hours the trains are 1000 miles apart. Find the speed of each.
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Question 1153576: Two trains going in opposite directions leave at the same time. Train B travels 15 mph faster than train A. In 8 hours the trains are 1000 miles apart. Find the speed of each. Answer by ikleyn(52781) (Show Source):
Let x be the rate of the slower train, in miles per hour.
Then the rate of the faster train is (x+15) mph, according to the condition.
The full distance equation is
8x + 8*(x+15) = 1000.
Simplify and solve for x
8x + 8x + 120 = 1000
16x = 1000 - 120
16x = 880
x = = 55.
ANSWER. The slower train rate is 55 mph. The faster train rate is 55+15 = 70 mph.
