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, , or 200 mph
Therefore, we get: S + S – 16 = 200
2S = 200 + 16
2S = 216
S, or speed of westbound (faster) train = , or mph