A can complete a work in 9 days and B in 24 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 9 days and B in 24 days. If they work together, the work will be completed in:
A. 6.55
B. 16.55
C. 11.55
D. 21.55
Answer: Option A
Solution (By JKExamLibrary)
Combined rate = 1/9 + 1/24. Required time = 6.55 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 20 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
A. 14.57
B. 10.57
C. 8.57
D. 12.57

Correct Answer: Option C


Explanation:
Combined rate = 1/20 + 1/15. Time = 1 รท combined rate = 8.57 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 25 days and B in 25 days. If both work together, in how many days will the work be completed?
A. 17.5
B. 20.0
C. 15.0
D. 12.5

Correct Answer: Option D


Explanation:
Combined rate = 1/25 + 1/25. Time = 12.5 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
If 5 men or 9 women can do a piece of work in 19 days, then 3 men and 6 women will do the same work in:
A. 15 days
B. 12 days
C. 13 days
D. 10 days

Correct Answer: Option A


Explanation:
5 Men = 9 Women => 1 Man = 9/5 Women. 3 men + 6 women = 3 * (9/5) + 6 = 27/5 + 6 = 57/5 women. Since 9 women take 19 days, 57/5 women will take (9 * 19) / (57/5) = (171 * 5) / 57 = 3 * 5 = 15 days.

This question belongs to: Maths Time and Work