A and B can do a piece of work in 15 days and 10 days respectively. They started the work together, but A left after 2 days. In how many days will B complete the remaining work? MCQ with Answer and Explanation

A and B can do a piece of work in 15 days and 10 days respectively. They started the work together, but A left after 2 days. In how many days will B complete the remaining work?
A. 6 days
B. 6(2/3) days
C. 5 days
D. 7 days
Answer: Option B
Solution (By JKExamLibrary)
Total work = LCM(15, 10) = 30 units. Efficiency of A = 2, B = 3. Combined efficiency = 5. In 2 days, work done = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by B to complete remaining work = 20 / 3 = 6(2/3) 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 24 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?
A. 20.07
B. 16.07
C. 18.07
D. 14.07

Correct Answer: Option D


Explanation:
Combined rate = 1/24 + 1/34. Time = 1 ÷ combined rate = 14.07 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A is twice as fast as B. If B can complete a work in 12 days, in how many days can A and B together complete the work?
A. 4 days
B. 6 days
C. 8 days
D. 3 days

Correct Answer: Option A


Explanation:
B takes 12 days, so A takes 6 days. Total work = 12 units. Efficiency of A = 2, B = 1. Combined efficiency = 3 units/day. Time taken together = 12 / 3 = 4 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 16 days and B in 20 days. If both work together, in how many days will the work be completed?
A. 13.89
B. 16.39
C. 11.39
D. 8.89

Correct Answer: Option D


Explanation:
Combined rate = 1/16 + 1/20. Time = 8.89 days.

This question belongs to: Maths Time and Work