A and B can do a piece of work in 45 days and 40 days respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. After how many days did A leave? MCQ with Answer and Explanation

A and B can do a piece of work in 45 days and 40 days respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. After how many days did A leave?
A. 8 days
B. 6 days
C. 9 days
D. 12 days
Answer: Option C
Solution (By JKExamLibrary)
Total work = LCM(45, 40) = 360 units. Efficiency of A = 8, B = 9. B worked alone for 23 days, so work done = 23 * 9 = 207 units. Remaining work = 360 - 207 = 153 units. This was completed by A and B together. Combined efficiency = 8 + 9 = 17. Time worked together = 153 / 17 = 9 days. Thus, A left after 9 days.

This question belongs to: Maths Time and Work

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Time and Work Questions

Question #1 Report Error
A can complete a work in 17 days and B can complete the same work in 27 days. If they work together, in how many days will the work be completed?
A. 16.43
B. 14.43
C. 12.43
D. 10.43

Correct Answer: Option D


Explanation:
Combined rate = 1/17 + 1/27. Time = 1 ÷ combined rate = 10.43 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
19 men can complete a work in 32 days. If 27 men work at the same rate, how many days are required?
A. 30.02
B. 22.52
C. 25.02
D. 27.52

Correct Answer: Option B


Explanation:
Total work = 608 man-days. Days = 22.52.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can do a work in 4 days, B in 5 days and C in 10 days. Find the time taken by A, B and C together to do the work.
A. 1(9/11) days
B. 1(7/11) days
C. 2 days
D. 2(1/11) days

Correct Answer: Option A


Explanation:
Total work = LCM(4, 5, 10) = 20 units. Efficiency of A = 5, B = 4, C = 2. Combined efficiency = 5 + 4 + 2 = 11 units/day. Time taken together = 20 / 11 = 1(9/11) days.

This question belongs to: Maths Time and Work