SOLUTION: Three workers can complete a job in 3 hours, 6 hours, and 8 hours respectively. How long will it take the workers to complete the job if they work together?
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-> SOLUTION: Three workers can complete a job in 3 hours, 6 hours, and 8 hours respectively. How long will it take the workers to complete the job if they work together?
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Question 931716: Three workers can complete a job in 3 hours, 6 hours, and 8 hours respectively. How long will it take the workers to complete the job if they work together? Found 2 solutions by TimothyLamb, ewatrrr:Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! r = w/t
rates are additive:
r = 1/3 + 1/6 + 1/8
r = 0.625
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t = w/r
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t = 1/0.625
t = 1.6 hours
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You can put this solution on YOUR website! |Multiplying thru by 24x so as all denominators = 1
8x + 4x + 3x = 24
15x = 24
x = 24/15 = 1.6 hr
and...checking
8/24 + 4/24 + 3/24 = 15/24 = 1/(24/15)
And 1/(24/15)= 1/1.6
