A can complete a work in 15 days and B in 26 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 15 days and B in 26 days. If they work together, the work will be completed in:
A. 14.51
B. 9.51
C. 19.51
D. 24.51
Answer: Option B
Solution (By JKExamLibrary)
Combined rate = 1/15 + 1/26. Required time = 9.51 days.

This question belongs to: Maths Time and Work

Discuss this Question (0)

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

Practice More Time and Work Questions

Question #1 Report Error
A is twice as fast as B. If A and B together can complete a piece of work in 8 days, in how many days can A alone complete it?
A. 10 days
B. 12 days
C. 24 days
D. 16 days

Correct Answer: Option B


Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3 units/day. Total work = 8 * 3 = 24 units. Time taken by A alone = 24 / 2 = 12 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 25 days and B in 50 days. After working together for 5 days, what percentage of work remains?
A. 77.5
B. 75.0
C. 72.5
D. 70.0

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/25+1/50))×100 = 70.0%.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 30 days and B in 22 days. If both work together, in how many days will the work be completed?
A. 17.69
B. 20.19
C. 15.19
D. 12.69

Correct Answer: Option D


Explanation:
Combined rate = 1/30 + 1/22. Time = 12.69 days.

This question belongs to: Maths Time and Work