a piece of work can be done by 6 men and 5..., Time & Work, General Mathematics

Question:A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in :

A 1 day 
B 2 days 
C 3 days 
D 4 days

/47

+ AnswerC

+ Explanationsolution:
Let 1 man's 1 day's work `= x & 1` woman's 1 day's work `= y`.
Then, `6x + 5y = 1/6, 3x +4y = 1/10`.
On solving, we get `x = 1/54` and `y = 1/90`.
(9 men + 15 women )'s 1 day's work `= (9/54 + 15/90)`
                                               `= 1/3`.
`:.` They will finish the work in 3 days.

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