A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will the work be completed?
A. 5 days
B. 8 days
C. 9 days
D. 6 days
Answer: Option D
Solution (By JKExamLibrary)
A's 1-day work = 1/10, B's 1-day work = 1/15. Combined 1-day work = 1/10 + 1/15 = 5/30 = 1/6. Therefore, they will complete the work together in 6 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A can complete a work in 22 days and B in 20 days. If they work together, the work will be completed in:
A. 25.48
B. 20.48
C. 15.48
D. 10.48

Correct Answer: Option D


Explanation:
Combined rate = 1/22 + 1/20. Required time = 10.48 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A and B work together. A alone can complete the work in 18 days and B alone in 34 days. What percentage of the total daily work is contributed by A?
A. 72.88
B. 67.88
C. 65.38
D. 70.38

Correct Answer: Option C


Explanation:
A share = (1/18) / (1/18+1/34) ×100 = 65.38%.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can do a work in 19 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 8.61
B. 11.11
C. 13.61
D. 16.11

Correct Answer: Option A


Explanation:
Combined time for full work multiplied by 0.75 = 8.61 days.

This question belongs to: Maths Time and Work