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? MCQ with Answer and Explanation

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. 7.73
B. 9.73
C. 11.73
D. 13.73
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/11 + 1/26. Time = 1 ÷ combined rate = 7.73 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 15 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 10.98
B. 5.98
C. 8.48
D. 13.48

Correct Answer: Option B


Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?
A. 36.82
B. 31.82
C. 39.32
D. 34.32

Correct Answer: Option B


Explanation:
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.

This question belongs to: Maths Time and Work
Question #3
A can complete a project in 20 days and B in 30 days. If they work on alternate days starting with A, in how many days will the project be completed?
A. 24 days
B. 22 days
C. 25 days
D. 26 days

Correct Answer: Option A


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.

This question belongs to: Maths Time and Work