A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A, B and C can complete a work in 12, 15 and 20 days respectively. If they work together, in how many days will the work be completed?
A. 4.5 days
B. 4 days
C. 6 days
D. 5 days
Answer: Option D
Solution (By JKExamLibrary)
Total work = LCM(12, 15, 20) = 60 units. Efficiency of A = 5, B = 4, C = 3. Combined efficiency = 5 + 4 + 3 = 12 units/day. Time taken together = 60 / 12 = 5 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 twice as efficient as B. If they complete a work together in 14 days, how many days will A alone take to complete it?
A. 28 days
B. 42 days
C. 35 days
D. 21 days

Correct Answer: Option D


Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3. Total work = 14 * 3 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 19 days and B in 22 days. If they work together, the work will be completed in:
A. 20.2
B. 10.2
C. 25.2
D. 15.2

Correct Answer: Option B


Explanation:
Combined rate = 1/19 + 1/22. Required time = 10.2 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 33 days and B in 21 days. If both work together, in how many days will the work be completed?
A. 15.33
B. 20.33
C. 17.83
D. 12.83

Correct Answer: Option D


Explanation:
Combined rate = 1/33 + 1/21. Time = 12.83 days.

This question belongs to: Maths Time and Work