A can complete a work in 13 days and B in 28 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 13 days and B in 28 days. If they work together, the work will be completed in:
A. 18.88
B. 8.88
C. 13.88
D. 23.88
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/13 + 1/28. Required time = 8.88 days.

Discuss this Question (0)

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

Practice More Time and Work Questions

Question #1
A can complete a work in 19 days and B in 41 days. If both work together, in how many days will the work be completed?
A. 15.48
B. 17.98
C. 12.98
D. 20.48

Correct Answer: Option C


Explanation:
Combined rate = 1/19 + 1/41. Time = 12.98 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 17 days and B in 24 days. If they work together, the work will be completed in:
A. 14.95
B. 24.95
C. 9.95
D. 19.95

Correct Answer: Option C


Explanation:
Combined rate = 1/17 + 1/24. Required time = 9.95 days.

This question belongs to: Maths Time and Work
Question #3
A and B can complete a work in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?
A. 9 days
B. 10 days
C. 11 days
D. 8 days

Correct Answer: Option A


Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 3 * 7 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B to complete remaining work = 27 / 3 = 9 days.

This question belongs to: Maths Time and Work