10 men can complete a work in 7 days. But 10 women can complete the same work in 14 days. If 5 men and 10 women work together, in how many days will the work be completed? MCQ with Answer and Explanation
10 men can complete a work in 7 days. But 10 women can complete the same work in 14 days. If 5 men and 10 women work together, in how many days will the work be completed?
A. 5 days
B. 7 days
C. 6 days
D. 8 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Efficiency of 10 men = 1/7, so 1 man = 1/70. Efficiency of 10 women = 1/14. Efficiency of 5 men and 10 women = 5*(1/70) + 1/14 = 1/14 + 1/14 = 2/14 = 1/7. Thus, they will complete the work in 7 days.
Explanation:
Efficiency ratio A : B = 2 : 1. Time ratio A : B = 1 : 2. Difference = 1 part = 20 days. So A takes 20 days and B takes 40 days. Total work = 40 units. Combined efficiency = 3. Time taken together = 40 / 3 = 13(1/3) days.
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