A can complete a work in 20 days and B in 14 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 20 days and B in 14 days. If they work together, the work will be completed in:
A. 23.24
B. 13.24
C. 18.24
D. 8.24
Answer: Option D
Solution (By JKExamLibrary)
Combined rate = 1/20 + 1/14. Required time = 8.24 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 10 days and B in 19 days. If they work together, the work will be completed in:
A. 21.55
B. 16.55
C. 6.55
D. 11.55

Correct Answer: Option C


Explanation:
Combined rate = 1/10 + 1/19. Required time = 6.55 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 13 days and B in 28 days. If both work together, in how many days will the work be completed?
A. 16.38
B. 8.88
C. 13.88
D. 11.38

Correct Answer: Option B


Explanation:
Combined rate = 1/13 + 1/28. Time = 8.88 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A is 30% more efficient than B. How much time will they take together to complete a job which A alone can finish in 23 days?
A. 12 days
B. 14 days
C. 13 days
D. 11 days

Correct Answer: Option C


Explanation:
Let efficiency of B = 10, then efficiency of A = 13. Total work = Efficiency of A * Time taken by A = 13 * 23 = 299 units. Combined efficiency of A and B = 13 + 10 = 23. Time taken together = 299 / 23 = 13 days.

This question belongs to: Maths Time and Work