A can complete a work in 16 days and B in 27 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 16 days and B in 27 days. If both work together, in how many days will the work be completed?
A. 12.55
B. 10.05
C. 17.55
D. 15.05
Answer: Option B
Solution (By JKExamLibrary)
Combined rate = 1/16 + 1/27. Time = 10.05 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 13 days and B in 28 days. If both work together, in how many days will the work be completed?
A. 16.38
B. 13.88
C. 8.88
D. 11.38

Correct Answer: Option C


Explanation:
Combined rate = 1/13 + 1/28. Time = 8.88 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 13 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?
A. 10.88
B. 12.88
C. 8.88
D. 14.88

Correct Answer: Option C


Explanation:
Combined rate = 1/13 + 1/28. Time = 1 รท combined rate = 8.88 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
If 3 men or 4 women can plow a field in 43 days, how long will 7 men and 5 women take to plow it?
A. 15 days
B. 8 days
C. 10 days
D. 12 days

Correct Answer: Option D


Explanation:
3 Men = 4 Women => 1 Man = 4/3 Women. 7 men + 5 women = 7 * (4/3) + 5 = 28/3 + 5 = 43/3 women. Since 4 women take 43 days, 43/3 women will take (4 * 43) / (43/3) = 4 * 3 = 12 days.

This question belongs to: Maths Time and Work