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If 20 workers can do two-thirds of a piece of work in 50 days,what fraction of the work can be done by 12 workers in 60 days?
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Answer:
20 men complete one-third of a work in 20 days
Part of work completed by 20 m in 20 days = (1/3)
Part of work completed by 20 m in 1 days = (1/3)(1/20)
Part of work completed by 1 m in 1 days = (1/3)(1/20)(1/20) = (1/1200)
Let n be the additional men required to finish the work in 25 more days.
Thus,
part of completed work + part of work to be completed in 25 days = 1
(1/3) + (20+n) x 25 x (1/1200) = 1
(1/3) + (1/48)(20+n) = 1
n = 12
more men should be employed to finish the rest of the work
Answered by
1
20 men complete one-third of a work in 20 days
Part of work completed by 20 m in 20 days = (1/3)
Part of work completed by 20 m in 1 days = (1/3)(1/20)
Part of work completed by 1 m in 1 days = (1/3)(1/20)(1/20) = (1/1200)
Let n be the additional men required to finish the work in 25 more days.
Thus,
part of completed work + part of work to be completed in 25 days = 1
(1/3) + (20+n) x 25 x (1/1200) = 1
(1/3) + (1/48)(20+n) = 1
n = 12
12
more men should be employed to finish the rest of the work
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