4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it? MCQ with Answer and Explanation
Question
Report Error
Discuss this Question (0)
Practice More Time and Work Questions
Question #1
Report Error
18 men can complete a work in 16 days. If 22 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = 18 × 16 = 288 man-days. Required days = 288/22 = 13.09 days.
Total work = 18 × 16 = 288 man-days. Required days = 288/22 = 13.09 days.
This question belongs to:
Maths
Time and Work
Question #2
Report Error
A can complete a work in 11 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/11 + 1/16. Time = 1 ÷ combined rate = 6.52 days.
Combined rate = 1/11 + 1/16. Time = 1 ÷ combined rate = 6.52 days.
This question belongs to:
Maths
Time and Work
Question #3
Report Error
A and B together can do a piece of work in 8 days, B and C together in 12 days, and C and A together in 16 days. In how many days can A, B and C together finish the work?
Correct Answer: Option C
Explanation:
Total work = LCM(8, 12, 16) = 48 units. Efficiency of (A+B) = 6, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2 * (A+B+C) = 13, so efficiency of (A+B+C) = 13/2. Time taken = 48 / (13/2) = 96 / 13 = 7(5/13) days.
Total work = LCM(8, 12, 16) = 48 units. Efficiency of (A+B) = 6, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2 * (A+B+C) = 13, so efficiency of (A+B+C) = 13/2. Time taken = 48 / (13/2) = 96 / 13 = 7(5/13) days.
This question belongs to:
Maths
Time and Work
No comments yet. Be the first to start the discussion!