A can complete a work in 21 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 21 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. 11.62
B. 15.62
C. 13.62
D. 17.62
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/21 + 1/26. Time = 1 ÷ combined rate = 11.62 days.

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Practice More Time and Work Questions

Question #1
A, B and C can complete a piece of work in 12, 15 and 20 days respectively. If they work together, what is the ratio of their wages?
A. 5 : 3 : 4
B. 4 : 5 : 6
C. 3 : 4 : 5
D. 5 : 4 : 3

Correct Answer: Option D


Explanation:
Wages are distributed in the ratio of their efficiencies. Ratio of time taken = 12 : 15 : 20. Ratio of efficiencies = 1/12 : 1/15 : 1/20. Multiplying by LCM (60), we get 5 : 4 : 3.

This question belongs to: Maths Time and Work
Question #2
A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?
A. 8 days
B. 9 days
C. 6 days
D. 7 days

Correct Answer: Option C


Explanation:
Combined 1-day work = 1/4. A's 1-day work = 1/12. B's 1-day work = 1/4 - 1/12 = 2/12 = 1/6. Therefore, B alone can complete the work in 6 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?
A. 27.5
B. 25.0
C. 32.5
D. 30.0

Correct Answer: Option B


Explanation:
Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

This question belongs to: Maths Time and Work