A can complete a work in 18 days and B in 46 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 18 days and B in 46 days. If both work together, in how many days will the work be completed?
A. 20.44
B. 17.94
C. 15.44
D. 12.94
Answer: Option D
Solution (By JKExamLibrary)
Combined rate = 1/18 + 1/46. Time = 12.94 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
If 10 men or 20 women can do a piece of work in 13 days, in how many days will 24 men and 17 women complete the same work?
A. 7 days
B. 4 days
C. 5 days
D. 6 days

Correct Answer: Option B


Explanation:
10 Men = 20 Women => 1 Man = 2 Women. 24 men + 17 women = 24 * 2 + 17 = 48 + 17 = 65 women. Since 20 women do the work in 13 days, 65 women will do it in (20 * 13) / 65 = 260 / 65 = 4 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
15 men can complete a work in 25 days. If 19 men work at the same rate, in how many days will the work be completed?
A. 23.74
B. 25.74
C. 21.74
D. 19.74

Correct Answer: Option D


Explanation:
Total work = 15 × 25 = 375 man-days. Required days = 375/19 = 19.74 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 17 days and B in 13 days. If they work together, the work will be completed in:
A. 12.37
B. 7.37
C. 22.37
D. 17.37

Correct Answer: Option B


Explanation:
Combined rate = 1/17 + 1/13. Required time = 7.37 days.

This question belongs to: Maths Time and Work