SOLUTION: Two trains leave station at the same time, one heading west and the other east. the westbound train travels 16 miles per hour faster than the eastbound train. if the two trains are

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Question 921575: Two trains leave station at the same time, one heading west and the other east. the westbound train travels 16 miles per hour faster than the eastbound train. if the two trains are 800 miles apart after 4 hours, what is the rate of the westbound train?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
West and East are opposite directions.
RT=D basic rule for uniform rates of travel.

r, speed of Eastbound train.

highlight%28r%2A4%2B%28r%2B16%29%2A4=800%29

Solve for r and evaluate r+16.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Two trains leave station at the same time, one heading west and the other east. the westbound train travels 16 miles per hour faster than the eastbound train. if the two trains are 800 miles apart after 4 hours, what is the rate of the westbound train?


Let westbound (faster) train’s speed be S

Then eastbound (slower) train’s speed = S – 16

Sum of trains’ speeds: miles apart, divided by time taken to be a certain amount of miles apart, or, 800%2F4, or 200 mph

Therefore, we get: S + S – 16 = 200

2S = 200 + 16

2S = 216

S, or speed of westbound (faster) train = 216%2F2, or highlight_green%28highlight_green%28108%29%29 mph