A can complete a work in 19 days and B in 30 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 19 days and B in 30 days. If they work together, the work will be completed in:
A. 26.63
B. 16.63
C. 21.63
D. 11.63
Answer: Option D
Solution (By JKExamLibrary)
Combined rate = 1/19 + 1/30. Required time = 11.63 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work?
A. 72 days
B. 24 days
C. 54 days
D. 36 days

Correct Answer: Option B


Explanation:
Let B's efficiency = 1, then A's efficiency = 3. Combined efficiency = 3 + 1 = 4. Total work = 18 * 4 = 72 units. Time taken by A alone = 72 / 3 = 24 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 16 days and B in 32 days. After working together for 5 days, what percentage of work remains?
A. 53.12
B. 58.12
C. 60.62
D. 55.62

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 15 days and B in 30 days. After working together for 5 days, what percentage of work remains?
A. 57.5
B. 50.0
C. 52.5
D. 55.0

Correct Answer: Option B


Explanation:
Remaining work = (1 - 5*(1/15+1/30))×100 = 50.0%.

This question belongs to: Maths Time and Work