A can complete a work in 21 days and B in 17 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 21 days and B in 17 days. If they work together, the work will be completed in:
A. 19.39
B. 9.39
C. 14.39
D. 24.39
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/21 + 1/17. Required time = 9.39 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 21 days and B in 31 days. If both work together, in how many days will the work be completed?
A. 15.02
B. 20.02
C. 12.52
D. 17.52

Correct Answer: Option C


Explanation:
Combined rate = 1/21 + 1/31. Time = 12.52 days.

This question belongs to: Maths Time and Work
Question #2
A, B and C can complete a work in 10, 12 and 15 days respectively. They start working together. Find the number of days required to complete the work.
A. 6 days
B. 3 days
C. 4 days
D. 5 days

Correct Answer: Option C


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work
Question #3
If 5 men can complete a work in 6 days, and 10 women can complete the same work in 5 days, in how many days can 5 men and 5 women complete the work together?
A. 3.75 days
B. 4 days
C. 3 days
D. 4.5 days

Correct Answer: Option A


Explanation:
Efficiency of 5 men = 1/6. Efficiency of 10 women = 1/5, so efficiency of 5 women = 1/10. Combined efficiency of 5 men and 5 women = 1/6 + 1/10 = (5 + 3) / 30 = 8 / 30 = 4 / 15. Time taken together = 15 / 4 = 3.75 days.

This question belongs to: Maths Time and Work