SOLUTION: two roads crew working together repaired 1 mile of the road in four hours. working separately one of the crews takes about six hours to repair a similar road. how long would it tak

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Question 940286: two roads crew working together repaired 1 mile of the road in four hours. working separately one of the crews takes about six hours to repair a similar road. how long would it take the other crew working alone to repair a similar Road?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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two roads crew working together repaired 1 mile of the road in four hours.
working separately one of the crews takes about six hours to repair a similar road.
how long would it take the other crew working alone to repair a similar Road?
:
let t = time required by the "other crew" to do the job
let the completed job = 1
:
4%2F6 + 4%2Ft = 1
Each crew does a fraction of the job, the two fractions add up to 1
multiply equation by 6t, cancel the denominators and you have:
4t + 6(4) = 6t
24 = 6t - 4t
24 = 2t
t = 24/2
t = 12 hrs for the other crew to do the job
:
;
Check this
4%2F6 + 4%2F12 = 1
reduce fractions
2%2F3 + 1%2F3 = 1