A can complete a work in 8 days and B in 13 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 8 days and B in 13 days. If they work together, the work will be completed in:
A. 9.95
B. 14.95
C. 4.95
D. 19.95
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/8 + 1/13. Required time = 4.95 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 32 days. What percentage of the work will be completed in 7 days?
A. 26.88
B. 24.38
C. 21.88
D. 29.38

Correct Answer: Option C


Explanation:
Completed percentage = (7/32)×100 = 21.88%.

This question belongs to: Maths Time and Work
Question #2
A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 4500 as wages. Find the share of C.
A. Rs. 1800
B. Rs. 1500
C. Rs. 1000
D. Rs. 1200

Correct Answer: Option D


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages = 6 : 5 : 4. Total ratio parts = 15. Share of C = (4 / 15) * 4500 = 4 * 300 = Rs. 1200.

This question belongs to: Maths Time and Work
Question #3
A and B work together. A alone can complete the work in 18 days and B alone in 36 days. What percentage of the total daily work is contributed by A?
A. 69.17
B. 66.67
C. 74.17
D. 71.67

Correct Answer: Option B


Explanation:
A share = (1/18) / (1/18+1/36) ×100 = 66.67%.

This question belongs to: Maths Time and Work