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# Tricky question!

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A biker’s speed is 1.5 times faster than a walker’s speed. They start moving simultaneously in the same direction from the same point and, after 1.5 hours, the distance between them is 12.5 miles. What are their speeds?

joebob  Nov 5, 2017
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Let the walker's speed in mph  = S    and the biker's speed = 1.5S

So

(1.5S - S)1.5    = 12.5

.5S (1.5)  = 12.5

.75S  = 12.5      divide both sides by .75

S =  12.5 / .75  = 50/3  =  16 + 2/3  mph

The walker's speed  = 16 + 2/3 mph      and the biker's speed  = 25 mph

Proof....after 1 hr the biker is    25/3 miles ahead....and after 1.5 hrs  the biker is

25/3  +  25 /6  =

[50 + 25 ]  / 6  =   75/6  =  12.5 miles ahead

BTW.....that walker would shred all Olympic records  !!!!!!

CPhill  Nov 5, 2017
edited by CPhill  Nov 5, 2017

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