Discussion :: Chain Rule
- A contract is to be finished in 46 days and 117 men involved in it, each working 8 hours per day. After 33 days, 4/7 of the work is finished, how many additional men may be employed so that it may be completed in time, each man now working 9 hours a day?
Answer : Option C
Explanation :
Remaining work after 33 days
Remaining period = 46-33 = 13 days
Now, we have
Less work, less man (directly proportion)
Less days, more men (inverse proportion)
More hours/days, less man (inverse proportion)
Now, we can say that work
Therefore, days = 13: 33
And, hours/day = 9: 8
Therefore,
Where, x is total number of men after 33 days.
Therefore, extra men to be employed = 198 - 117 = 81.
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