A can complete a work in 18 days and B in 36 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

A can complete a work in 18 days and B in 36 days. After working together for 5 days, what percentage of work remains?
A. 65.83
B. 60.83
C. 58.33
D. 63.33
Answer: Option C
Solution (By JKSSB Mock Tests)
Remaining work = (1 - 5*(1/18+1/36))×100 = 58.33%.

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Practice More Time and Work Questions

Question #1
A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave. Then C alone finishes the remaining work in 10 days. In how many days can C alone finish the full work?
A. 35 days
B. 25 days
C. 30 days
D. 24 days

Correct Answer: Option D


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. Combined efficiency = 5 units/day. In 7 days, work done = 7 * 5 = 35 units. Remaining work = 60 - 35 = 25 units. C takes 10 days to do 25 units, so efficiency of C = 25 / 10 = 2.5 units/day. Time taken by C for full work = 60 / 2.5 = 24 days.

This question belongs to: Maths Time and Work
Question #2
A can build a wall in 20 days, while B can destroy it in 30 days. If they work on alternate days starting with A, in how many days will the wall be completely built?
A. 120 days
B. 116 days
C. 115 days
D. 113 days

Correct Answer: Option C


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = +3, B = -2. In 2 days (A then B), net work done = 3 - 2 = 1 unit. We need to reach 60 units. Since A can add 3 units on his turn, we find when work reaches 60 - 3 = 57 units. 57 units will be done in 57 * 2 = 114 days. On the 115th day, A works and completes 3 units, making the total work 57 + 3 = 60 units. So, the wall is built in 115 days.

This question belongs to: Maths Time and Work
Question #3
20 men can complete a work in 22 days. If 25 men work at the same rate, the work will be completed in:
A. 17.6
B. 32.6
C. 27.6
D. 22.6

Correct Answer: Option A


Explanation:
Total work = 440 man-days. Time = 440/25 = 17.6 days.

This question belongs to: Maths Time and Work