Question 384478
If Harry can do a job in 2 days, and Sally can do the job in 4 days, and Henry can do the job in 6 days how long it will take to do the job if they all work on it at the same time?
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Harry rate is 1/2 job/day
Sally rate is 1/4 job/day
Henry rate is 1/6 job/day
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Together rate is 1/x job/day
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Equation:
rate + rate + rate = together rate
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1/2 + 1/4 + 1/6 = 1/x
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6x + 3x + 2x = 12
11x = 12
x = 12/11 = 1 1/11 days (time reqrd to do the job together)
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Cheers,
Stan H.