A can do a piece of work in 20 days and B in 30 days. They work together for some time and then B leaves. If A completes the remaining work in 5 days, for how many days did they work together? MCQ with Answer and Explanation

A can do a piece of work in 20 days and B in 30 days. They work together for some time and then B leaves. If A completes the remaining work in 5 days, for how many days did they work together?
A. 8 days
B. 6 days
C. 9 days
D. 10 days
Answer: Option C
Solution (By JKExamLibrary)
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. A worked alone for 5 days: work done = 5 * 3 = 15 units. Remaining work = 60 - 15 = 45 units. This was completed by A and B together. Combined efficiency = 3 + 2 = 5 units/day. Number of days they worked together = 45 / 5 = 9 days.

This question belongs to: Maths Time and Work

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Question #1 Report Error
If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same work?
A. 2 days
B. 3 days
C. 5 days
D. 4 days

Correct Answer: Option B


Explanation:
3 Men = 6 Women => 1 Man = 2 Women. 12 Men + 8 Women = 12(2 Women) + 8 Women = 32 Women. If 6 women do it in 16 days, then 32 women do it in (6 * 16) / 32 = 3 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?
A. 20.0
B. 18.0
C. 16.0
D. 22.0

Correct Answer: Option C


Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 11 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?
A. 12.12
B. 14.12
C. 8.12
D. 10.12

Correct Answer: Option C


Explanation:
Combined rate = 1/11 + 1/31. Time = 1 ÷ combined rate = 8.12 days.

This question belongs to: Maths Time and Work