Question 888144
A man can run 200 yards per minute and walk 75 yards per minute. He is one mile away from a railroad station and has 10 minutes in which to catch a train. At what point can he start walking and get there on time?
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1 mile = 1760 yards (another clever English unit)
He could run the mile and it would take 1760/200 = 8.8 minutes.
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To take 10 minutes:
d = running distance
d/200 + (1760-d)/75 = 10
3d + 8*(1760-d) = 6000
-5d = 6000 - 14080 = -8080
d = 1616 yds