A is twice as fast as B. If B can complete a work in 12 days, in how many days can A and B together complete the work? MCQ with Answer and Explanation

A is twice as fast as B. If B can complete a work in 12 days, in how many days can A and B together complete the work?
A. 4 days
B. 8 days
C. 6 days
D. 3 days
Answer: Option A
Solution (By JKExamLibrary)
B takes 12 days, so A takes 6 days. Total work = 12 units. Efficiency of A = 2, B = 1. Combined efficiency = 3 units/day. Time taken together = 12 / 3 = 4 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
If 3 men or 5 women can do a piece of work in 12 days, in how many days will 6 men and 5 women complete the same work?
A. 4 days
B. 5 days
C. 6 days
D. 3 days

Correct Answer: Option A


Explanation:
3 Men = 5 Women => 6 Men = 10 Women. 6 men + 5 women = 10 women + 5 women = 15 women. Since 5 women take 12 days, 15 women will take (5 * 12) / 15 = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 18 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?
A. 15.0
B. 13.0
C. 9.0
D. 11.0

Correct Answer: Option C


Explanation:
Combined rate = 1/18 + 1/18. Time = 1 ÷ combined rate = 9.0 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
10 men can complete a work in 20 days. If 14 men work at the same rate, in how many days will the work be completed?
A. 20.29
B. 14.29
C. 18.29
D. 16.29

Correct Answer: Option B


Explanation:
Total work = 10 × 20 = 200 man-days. Required days = 200/14 = 14.29 days.

This question belongs to: Maths Time and Work