A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in:
A. 17.5
B. 7.5
C. 12.5
D. 22.5
Answer: Option B
Solution (By JKExamLibrary)
Combined rate = 1/10 + 1/30. Required time = 7.5 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 23 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?
A. 13.55
B. 15.55
C. 19.55
D. 17.55

Correct Answer: Option A


Explanation:
Combined rate = 1/23 + 1/33. Time = 1 ÷ combined rate = 13.55 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
16 men can complete a work in 18 days. If 21 men work at the same rate, the work will be completed in:
A. 18.71
B. 23.71
C. 13.71
D. 28.71

Correct Answer: Option C


Explanation:
Total work = 288 man-days. Time = 288/21 = 13.71 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A and B work together. A alone can complete the work in 30 days and B alone in 26 days. What percentage of the total daily work is contributed by A?
A. 53.93
B. 48.93
C. 46.43
D. 51.43

Correct Answer: Option C


Explanation:
A share = (1/30) / (1/30+1/26) ×100 = 46.43%.

This question belongs to: Maths Time and Work