| Two men alone or three women alone can complete a piece of work in 4 days. In how many days can one woman and one man together complete the same piece of work? |
A) 6 days
B) \[\frac{24}{5}\,\text{days}\]
C) \[\frac{12}{1.75}\,\text{days}\]
D) Cannot be determined
E) None of the above
Correct Answer: B
Solution :
| \[2M=3W\] |
| \[\therefore \] \[1M=\frac{3}{2}W\] |
| Now, \[1M+1W=\frac{3}{2}W+1W=\frac{5}{2}W\] |
| Number of days \[=\frac{3\times 4}{\frac{5}{2}}=\frac{24}{5}\text{days}\] |
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