A can complete a piece of work in 12 days and B in 15 days. They work together for 3 days and then B leaves. In how many days will A complete the remaining work? MCQ with Answer and Explanation

A can complete a piece of work in 12 days and B in 15 days. They work together for 3 days and then B leaves. In how many days will A complete the remaining work?
A. 5.6 days
B. 4.8 days
C. 7.5 days
D. 6.6 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. Combined efficiency = 9 units/day. In 3 days, work completed = 3 * 9 = 27 units. Remaining work = 60 - 27 = 33 units. Time taken by A to complete remaining work = 33 / 5 = 6.6 days.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Time and Work Questions

Question #1
Three pumps working 8 hours a day can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the same tank in 1 day?
A. 10 hours
B. 16 hours
C. 12 hours
D. 15 hours

Correct Answer: Option C


Explanation:
Using P1 * D1 * H1 = P2 * D2 * H2: 3 * 2 * 8 = 4 * 1 * H2 => 48 = 4 * H2 => H2 = 12 hours.

This question belongs to: Maths Time and Work
Question #2
A tank can be filled by pipe A in 6 hours and emptied by pipe B in 8 hours. If both pipes are opened together, how much time will it take to fill the empty tank?
A. 18 hours
B. 12 hours
C. 24 hours
D. 14 hours

Correct Answer: Option C


Explanation:
Total capacity = LCM(6, 8) = 24 units. Efficiency of A = +4, B = -3. Combined efficiency = 4 - 3 = 1 unit/hour. Time required = 24 / 1 = 24 hours.

This question belongs to: Maths Time and Work
Question #3
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A. 45 days
B. 35 days
C. 40 days
D. 50 days

Correct Answer: Option C


Explanation:
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.

This question belongs to: Maths Time and Work