A can complete a work in 22 days and B in 44 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 22 days and B in 44 days. After working together for 5 days, what percentage of work remains?
A. 70.91
B. 73.41
C. 68.41
D. 65.91
Answer: Option D
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/22+1/44))×100 = 65.91%.

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Practice More Time and Work Questions

Question #1
A can build a wall in 15 days, and B can destroy it in 20 days. If they work on alternate days starting with A, in how many days will the wall be built?
A. 113 days
B. 117 days
C. 120 days
D. 115 days

Correct Answer: Option A


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = +4, B = -3. In 2 days (A then B), net work done = 4 - 3 = 1 unit. We need to reach 60 - 4 = 56 units first. 56 units will be done in 56 * 2 = 112 days. On the 113th day, A works and completes 4 units, making the total work 56 + 4 = 60 units. So, the wall is completed in 113 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 13 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 13.02
B. 5.52
C. 10.52
D. 8.02

Correct Answer: Option B


Explanation:
Combined time for full work multiplied by 0.75 = 5.52 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 17 days and B in 21 days. If they work together, the work will be completed in:
A. 14.39
B. 19.39
C. 9.39
D. 24.39

Correct Answer: Option C


Explanation:
Combined rate = 1/17 + 1/21. Required time = 9.39 days.

This question belongs to: Maths Time and Work