SOLUTION: A thief is 20 steps ahead of a cop , and takes 6 steps while the cop takes 5, but 5 of the cop's steps equal 8 of the thief's; how far will the thief run before he is caught?
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Question 204111: A thief is 20 steps ahead of a cop , and takes 6 steps while the cop takes 5, but 5 of the cop's steps equal 8 of the thief's; how far will the thief run before he is caught? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A thief is 20 steps ahead of a cop , and takes 6 steps while the cop takes 5,
but 5 of the cop's steps equal 8 of the thief's; how far will the thief run
before he is caught?
:
:
Let x = distance of 1 step by the thief
Then = 1.6x; the cop's step distance
:
Write a distance equation:
5(1.6x) = 6x + 20
8x - 6x = 20
2x = 20
x = 10 units; distance of 1 step
:
6(10) = 60 units traveled by the thief, when he is caught
5(1.6*10)) = 80 units traveled by the cop (started out 20 steps behind)
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