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. 16.55
B. 11.55
C. 21.55
D. 6.55
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/9 + 1/24. Required time = 6.55 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 29 days. What percentage of the work will be completed in 7 days?
A. 26.64
B. 24.14
C. 31.64
D. 29.14

Correct Answer: Option B


Explanation:
Completed percentage = (7/29)×100 = 24.14%.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 17 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?
A. 15.1
B. 11.1
C. 17.1
D. 13.1

Correct Answer: Option B


Explanation:
Combined rate = 1/17 + 1/32. Time = 1 ÷ combined rate = 11.1 days.

This question belongs to: Maths Time and Work
Question #3
A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, how many days will A alone take to complete the total work?
A. 18 days
B. 15 days
C. 12 days
D. 16 days

Correct Answer: Option C


Explanation:
Ratio of efficiency of A : B = 3 : 1. Combined efficiency = 3 + 1 = 4. Total work = 9 * 4 = 36 units. Time taken by A alone = 36 / 3 = 12 days.

This question belongs to: Maths Time and Work