A) 230
B) 170
C) 310
D) 270
Correct Answer: D
Solution :
12 men can complete a work in 30 days by working 9 hours a day. \[\therefore \] 1 man can complete a work in 1 day by working \[(12\times 30\times 9)\] hours. Let the number of men required be x. Then x men can complete 10 times the work in 24 days by working 5 hours a day. \[\therefore \] 1 man can complete 1 work in 1 day by working \[\frac{x\times 24\times 5}{10}\] hours \[\therefore \,\,12\times 30\times 9=\frac{x\times 24\times 5}{10}\] \[\Rightarrow \,\,x=270\,\] men.
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