SOLUTION: 14 men can complete work in 5 days where as 5 boy can complete the same work in 10 days in how many days 7 men and 5 boy can complete the task together

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Question 824281: 14 men can complete work in 5 days where as 5 boy can complete the same work in 10 days in how many days 7 men and 5 boy can complete the task together
Answer by stanbon(75887) About Me  (Show Source):
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14 men can complete work in 5 days where as 5 boy can complete the same work in 10 days in how many days 7 men and 5 boy can complete the task together
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70 man-days = 1 job
1 man = 1/70 job/day
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50 boy-days = 1 job
1 boy = 1/50 job/day
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Equation:
d[1/70 + 1/50] = 1
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d[(70+50)/(70*50)] = 1
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d[120/3500] = 1
d = 3500/120
d = 29.1667 days
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Cheers,
Stan H.
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