A can complete a work in 19 days and B in 19 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 19 days and B in 19 days. If they work together, the work will be completed in:
A. 14.5
B. 19.5
C. 9.5
D. 24.5
Answer: Option C
Solution (By JKExamLibrary)
Combined rate = 1/19 + 1/19. Required time = 9.5 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 19 days and B in 30 days. If they work together, the work will be completed in:
A. 16.63
B. 21.63
C. 11.63
D. 26.63

Correct Answer: Option C


Explanation:
Combined rate = 1/19 + 1/30. Required time = 11.63 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A and B together can do a piece of work in 6 days. If A alone can do it in 18 days, in how many days can B alone complete the work?
A. 20 days
B. 9 days
C. 15 days
D. 12 days

Correct Answer: Option B


Explanation:
Combined 1-day work = 1/6. A's 1-day work = 1/18. B's 1-day work = 1/6 - 1/18 = 2/18 = 1/9. Therefore, B alone can complete the work in 9 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 24 days and B in 23 days. If both work together, in how many days will the work be completed?
A. 14.24
B. 16.74
C. 11.74
D. 19.24

Correct Answer: Option C


Explanation:
Combined rate = 1/24 + 1/23. Time = 11.74 days.

This question belongs to: Maths Time and Work