1.

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?

Answer»

(1 MAN + 1 woman)’s 1 DAY work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48 
REMAINING work = (1 – 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
NUMBER of boys required = 41/48 * 41 = 41

(1 man + 1 woman)’s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48 
Remaining work = (1 – 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41



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