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Question : 15 men can complete a work in 25 days and 25 women can complete the same work in 40 days. If all the 15 men and 25 women work together, in how many days will the work get completed?

Option 1: $15 \frac{5}{13}$ days

Option 2: $10 \frac{5}{13}$ days

Option 3: $15 \frac{5}{12}$ days

Option 4: $15 \frac{4}{13}$ days


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: $15 \frac{5}{13}$ days


Solution : Total Work = LCM (925, 40) = 200 units.
One day work of 15 men = $\frac{200}{25}$ = 8 units
One day work of 25 women = $\frac{200}{40}$ = 5 units
One day work of 15 men and 25 women working together = 8 + 5 = 13 units
Time taken by 15 men and 25 women working together = $\frac{200}{13}$ = 15$\frac{5}{13}$ days.
Hence the correct answer is 15$\frac{5}{13}$ days.

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