A can complete a work in 17 days and B can complete the same work in 22 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 17 days and B can complete the same work in 22 days. If they work together, in how many days will the work be completed?
A. 13.59
B. 9.59
C. 11.59
D. 15.59
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/17 + 1/22. Time = 1 ÷ combined rate = 9.59 days.

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Practice More Time and Work Questions

Question #1
A, B and C can do a piece of work in 10, 15 and 30 days respectively. If they work on alternate days in the order A, B, C, in how many days will the work be completed?
A. 12 days
B. 18 days
C. 20 days
D. 15 days

Correct Answer: Option D


Explanation:
Total work = LCM(10, 15, 30) = 30 units. Efficiency of A = 3, B = 2, C = 1. In a 3-day cycle (A on day 1, B on day 2, C on day 3), work completed = 3 + 2 + 1 = 6 units. Number of cycles required = 30 / 6 = 5 cycles. Total days = 5 * 3 = 15 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 22 days and B in 20 days. If they work together, the work will be completed in:
A. 20.48
B. 15.48
C. 10.48
D. 25.48

Correct Answer: Option C


Explanation:
Combined rate = 1/22 + 1/20. Required time = 10.48 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 11 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?
A. 11.73
B. 13.73
C. 7.73
D. 9.73

Correct Answer: Option C


Explanation:
Combined rate = 1/11 + 1/26. Time = 1 ÷ combined rate = 7.73 days.

This question belongs to: Maths Time and Work