A can complete a work in 14 days and B in 12 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 14 days and B in 12 days. If they work together, the work will be completed in:
A. 6.46
B. 16.46
C. 21.46
D. 11.46
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/12. Required time = 6.46 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 24 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?
A. 14.6
B. 16.6
C. 12.6
D. 10.6

Correct Answer: Option D


Explanation:
Combined rate = 1/24 + 1/19. Time = 1 ÷ combined rate = 10.6 days.

This question belongs to: Maths Time and Work
Question #2
A, B and C can complete a work in 10, 12 and 15 days respectively. They start working together. Find the number of days required to complete the work.
A. 6 days
B. 5 days
C. 4 days
D. 3 days

Correct Answer: Option C


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work
Question #3
A and B can complete a work in 15 days and 10 days respectively. They started the work together but B left after 2 days. In how many days will A complete the remaining work?
A. 11 days
B. 10 days
C. 8 days
D. 9 days

Correct Answer: Option B


Explanation:
Total work = LCM(15, 10) = 30 units. Efficiency of A = 2, B = 3. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by A to complete remaining work = 20 / 2 = 10 days.

This question belongs to: Maths Time and Work