if 14 boys , working 9 hours a day can do a particular work in 28 days then in how many days will 21 boys do the same work , working 7 hours a day
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Total no. of hours required by 14 men to do work = (11days)*(8hrs/day) = 88 hours
Total no. of hours required by 1 man to do work = (88*14) hours
Total no. of hours required by 22 men to do work = (88*14)/22 = 56 hours
22 men work 7 hours each day, therefore,
No. of days required by 22 men to do work
= 56/7 = 8 days
( Here, method of inverse proportion is used, as no. of men is inversely proportional to no. of hours required to do the work).
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