A, B, and C can complete a piece of work in 12, 15, and 20 days respectively. In how many days will they finish it together? MCQ with Answer and Explanation

A, B, and C can complete a piece of work in 12, 15, and 20 days respectively. In how many days will they finish it together?
A. 5 days
B. 6 days
C. 8 days
D. 4 days
Answer: Option A
Solution (By JKSSB Mock Tests)
Total work = LCM of 12, 15, and 20 = 60 units. Efficiency of A = 5, B = 4, C = 3. Total efficiency = 5 + 4 + 3 = 12 units/day. Days required = 60 / 12 = 5 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 17 days and B in 13 days. If they work together, the work will be completed in:
A. 22.37
B. 7.37
C. 12.37
D. 17.37

Correct Answer: Option B


Explanation:
Combined rate = 1/17 + 1/13. Required time = 7.37 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 23 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?
A. 14.63
B. 12.63
C. 16.63
D. 18.63

Correct Answer: Option B


Explanation:
Combined rate = 1/23 + 1/28. Time = 1 ÷ combined rate = 12.63 days.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 9 days and B in 23 days. In how many days will they complete 75% of the work together?
A. 12.35
B. 7.35
C. 4.85
D. 9.85

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 4.85 days.

This question belongs to: Maths Time and Work