Question

A man takes 10 days to finish a job where as a woman takes 6 days to finish the same job. Together they worked for 3 days and then the woman left. In how many days will the man complete the remaining job?

Answer 1

Man can finish the work in 10 days and women can finish the same work in 6 days.

∴ Man’s 1 day work = 1/10

Woman’s 1 day work = 1/6

(Man + Woman)s 1 day work

= 1/10 + 1/6 = 6/60 + 10/60 = 16/60

(Man + Woman)s 3 days work

In 3 days 4/5th of the whole work is completed.

Remaining work = 1 – 4/5 = 5/5 – 4/5 = 15

Complete work is done by the man by 10 days

∴ 1/5 of the work is done by man in 1/5 × 10 = 2 days.