Twelve men can do a work in twenty days while twenty women can finish the same w

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Question

Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.

Options:

A . 3:4

B . 5:4

C . 4:3

D . 5:3

Answer: Option C
PART OF WORK COMPLETED BY A MAN IN A DAY = 1/(12*20)
= 1/240 PART OF WORK COMPLETED BY A WOMAN IN A DAY = 1/(20*16) = 1/320 RATIO OF THEIR CAPACITIES
= (1/240):(1/320) = 320:240 = 4:3

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