A can complete a work in 20 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 20 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed?
A. 14.0
B. 16.0
C. 12.0
D. 18.0
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/20 + 1/30. Time = 1 ÷ combined rate = 12.0 days.

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Practice More Time and Work Questions

Question #1
If 8 men or 12 women can do a piece of work in 25 days, in how many days can 6 men and 11 women do the same work?
A. 12 days
B. 18 days
C. 16 days
D. 15 days

Correct Answer: Option D


Explanation:
8 Men = 12 Women => 1 Man = 1.5 Women. 6 men + 11 women = 6 * 1.5 + 11 = 9 + 11 = 20 women. Since 12 women do the work in 25 days, 20 women will do it in (12 * 25) / 20 = 300 / 20 = 15 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 24 days and B in 30 days. If both work together, in how many days will the work be completed?
A. 15.83
B. 13.33
C. 18.33
D. 20.83

Correct Answer: Option B


Explanation:
Combined rate = 1/24 + 1/30. Time = 13.33 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 12 days and B in 25 days. If they work together, the work will be completed in:
A. 23.11
B. 13.11
C. 18.11
D. 8.11

Correct Answer: Option D


Explanation:
Combined rate = 1/12 + 1/25. Required time = 8.11 days.

This question belongs to: Maths Time and Work