1)

A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 47 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day ?


A) 81

B) 90

C) 75

D) 53

Answer:

Option A

Explanation:

Remaining work =147 =37

Remaining period =(4633) days = 13 days.

Let the total men working at it be x.

Less work, Less men        (Direct Proportion)

Less days, More men        (Indirect Proportion)

More Hrs/Day, Less men (Indirect Proportion)

{Wrok47:37Days13:33Hrs/Day9:8}::117:x  

47×13×9×x =37×33×8×117

or x=(3×33×8×1174×13×9)  =198

Additional men to be employed =(198117) = 81.