Asked by israel

how do i solve this: a Train leaves Poughkeepsie to grand central station in NYC at an average speed of 40 mph. a half hour later an express train leaves poughkeepsie station to NYC at a speed of 50 mph. both trains arrive at NYC the same time. based on this info calculate the distance between poughkeepsie and NYC

Answers

Answered by Reiny
let the distance be x miles
time for first train = x/40
time for second train = x/50

x/40 - x/50 = 1/2
times 200
5x - 4x = 100
x = 100
Distance is 100 miles


check: to go 100 miles at 40 mph takes 100/40 hrs = 2.5
to go 100 miles at 50 mph takes 100/50 = 2hrs.
Does it take 1/2 less ? YES
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