Time And Work Ques 24

Question-

Two men alone or three women alone can complete a piece of work in 4 days. In how many days can 1 woman and one man together complete the same piece of work?

(1) 6 days

(2) $\frac{24}{5}$ days

(3) $\frac{12}{1.75}$ days

(4) Cannot be determined

(5) None of these

(Corporation Bank PO Exam. 16.01.2011)

Show Answer

Correct Answer: (2)

Solution: (2)

2 men $=3$ women

1 man + 1 woman $=\left(\frac{3}{2}+1\right)$ women $=\frac{5}{2}$ women

$M_{1} D_{1}=M_{2} D_{2}$

$\Rightarrow 3 \times 4=\frac{5}{2} \times D_{2}$

$\Rightarrow D_{2}=\frac{3 \times 4 \times 2}{5}=\frac{24}{5}$ days