A can complete a work in 26 days and B in 20 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 26 days and B in 20 days. If both work together, in how many days will the work be completed?
A. 18.8
B. 13.8
C. 16.3
D. 11.3
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/26 + 1/20. Time = 11.3 days.

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Practice More Time and Work Questions

Question #1
A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, how many days will A alone take to complete the total work?
A. 16 days
B. 15 days
C. 18 days
D. 12 days

Correct Answer: Option D


Explanation:
Ratio of efficiency of A : B = 3 : 1. Combined efficiency = 3 + 1 = 4. Total work = 9 * 4 = 36 units. Time taken by A alone = 36 / 3 = 12 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 20 days and B in 40 days. After working together for 5 days, what percentage of work remains?
A. 62.5
B. 67.5
C. 65.0
D. 70.0

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/20+1/40))×100 = 62.5%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 9 days and B in 24 days. If they work together, the work will be completed in:
A. 6.55
B. 21.55
C. 11.55
D. 16.55

Correct Answer: Option A


Explanation:
Combined rate = 1/9 + 1/24. Required time = 6.55 days.

This question belongs to: Maths Time and Work