10 men can complete a work in 7 days. But 10 women need 14 days to complete the

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10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

Options:

A . 7

B . 5

C . 6

D . 4

Answer: Option A
WORK DONE BY 10 MEN IN 1 DAY = 1/7
WORK DONE BY 1 MAN IN 1 DAY = (1/7)/10 = 1/70
WORK DONE BY 10 WOMEN IN 1 DAY = 1/14
WORK DONE BY 1 WOMAN IN 1 DAY = 1/140
WORK DONE BY 5 MEN AND 10 WOMEN IN 1 DAY = 5 × (1/70) + 10 × (1/140)
= 5/70 + 10/140 = 1/7
=> 5 MEN AND 10 WOMEN CAN COMPLETE THE WORK IN 7 DAYS

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