Question 1149986
Two trains leave the station at the same time, one heading east and the other west.
 The eastbound train travels 14 miles per hour slower than the westbound train.
 If the two trains are 450 miles apart after 3 hours, what is the rate of the eastbound train?
:
let s = speed of the eastbound train
 The eastbound train travels 14 miles per hour slower than the westbound train."
(s+14) = speed of the westbound train
:
3s + 3(s+14) = 450
3s + 3s + 42 = 450
6s = 450 - 42
6s = 408
s = 408/6
s = 68 mph is the speed of the eastbound train
:
:
Check (westbound: 68+14 = 82 mph):
3(68) = 204 mi
3(82) = 246 mi
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tot dist: 250 mi