A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\nOptions:\n(A) 41\n(B) 43\n(C) 31\n(D) 84\n(E) 81 Stream of consciousness:
User
(1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12\nWork done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48\nRemaining work = 1 - 7/48 = 41/48\nWork done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48\nTherefore, Number of boys required = ((41/48) x 48) = 41
Thus, the answer is (A).
Assistant