Ian and Adam wanted to go to Coney Island and were trying to figure out the fastest way to get there. Ian wanted to take the subway, but Adam noted that the subway only gets halfway to Coney Island and then you have to walk the rest of the way. Adam said that the fastest way to get there would be by bicycle, but Ian still felt the subway would be faster. So Adam hopped on his bicycle and Ian took the subway.
The Subway was four times as fast as Adam on his bicycle, but Adam was twice as fast as Ian’s walking speed.
Who got to Coney Island first?
Source:
Friday, April 28, 2006
Going to Coney Island
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Answer:
If the distance to Coney Island is d and Ian’s walking speed = s;
then Adam bicycling speed = 2s and Subway speed = 6s.
Time for Adam to get to Coney Island = d/(2s)
Time fro Ian to get to Coney Island = (.5d / 8s) + (.5d / s) = 9d / 16s
So Ian got to Coney Island first.
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