A man is 40% more efficient than a woman, and a child is
40% less efficient then a woman. 3 men, 5 women, and 4
children work for 7 days to complete a job. How many days
will 2 men, 7 women and 3 children take to complete the
same job?

Options

A. 4.5 days`
B. 5.5 days
C. 6.5 days
D. 7 days

Answer

(d)

Explanation

Let us suppoes Women give 10 units a day
Therefore, a mam gives `1.4xx 10 + 14`units a day
Similarly, a child gives `0.6xx 10 = 6` units a day
Total job (units) `= (7 days xx per day contribution)`
`=7xx (3xx14+5 xx 10 +4 xx 6)=812` units
New combination `= 2 M + 7 W + 3 C`
Contribution per day `= 2xx 14 + 7 xx 10 + 3 xx 6 = 116` units
Days required to complete the job `=812/116 = 7 ` days