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. 58.33
B. 63.33
C. 65.83
D. 60.83
Answer: Option A
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 complete a work in 20 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
A. 14.57
B. 8.57
C. 12.57
D. 10.57

Correct Answer: Option B


Explanation:
Combined rate = 1/20 + 1/15. Time = 1 ÷ combined rate = 8.57 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 23 days. What percentage of the work will be completed in 7 days?
A. 35.43
B. 32.93
C. 30.43
D. 37.93

Correct Answer: Option C


Explanation:
Completed percentage = (7/23)×100 = 30.43%.

This question belongs to: Maths Time and Work
Question #3
A and B can do a work in 8 days, B and C in 12 days and A, B, C together in 6 days. In how many days can A and C together complete the work?
A. 8 days
B. 4 days
C. 10 days
D. 6 days

Correct Answer: Option A


Explanation:
Total work = LCM(8, 12, 6) = 24 units. Efficiency of (A+B) = 3, (B+C) = 2, (A+B+C) = 4. Efficiency of C = (A+B+C) - (A+B) = 4 - 3 = 1. Efficiency of A = (A+B+C) - (B+C) = 4 - 2 = 2. Combined efficiency of A and C = 2 + 1 = 3. Time taken by A and C together = 24 / 3 = 8 days.

This question belongs to: Maths Time and Work