A, B, and C can complete a work in 10, 12, and 15 days respectively. If they all work together, how long will they take to finish the work? MCQ with Answer and Explanation

A, B, and C can complete a work in 10, 12, and 15 days respectively. If they all work together, how long will they take to finish the work?
A. 3 days
B. 4 days
C. 6 days
D. 5 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work (LCM of 10, 12, 15) = 60 units. Efficiencies: A = 6, B = 5, C = 4. Total combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 16 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed?
A. 8.0
B. 10.0
C. 12.0
D. 14.0

Correct Answer: Option A


Explanation:
Combined rate = 1/16 + 1/16. Time = 1 ÷ combined rate = 8.0 days.

This question belongs to: Maths Time and Work
Question #2
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. 58.12
B. 55.62
C. 60.62
D. 53.12

Correct Answer: Option D


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

This question belongs to: Maths Time and Work
Question #3
A and B work together. A alone can complete the work in 30 days and B alone in 24 days. What percentage of the total daily work is contributed by A?
A. 46.94
B. 49.44
C. 51.94
D. 44.44

Correct Answer: Option D


Explanation:
A share = (1/30) / (1/30+1/24) ×100 = 44.44%.

This question belongs to: Maths Time and Work