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. 6 days
B. 5 days
C. 4 days
D. 3 days
Answer: Option C
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 24 days and B in 30 days. If both work together, in how many days will the work be completed?
A. 20.83
B. 15.83
C. 13.33
D. 18.33

Correct Answer: Option C


Explanation:
Combined rate = 1/24 + 1/30. Time = 13.33 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?
A. 39.32
B. 34.32
C. 31.82
D. 36.82

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 13 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed?
A. 8.31
B. 10.31
C. 12.31
D. 14.31

Correct Answer: Option A


Explanation:
Combined rate = 1/13 + 1/23. Time = 1 ÷ combined rate = 8.31 days.

This question belongs to: Maths Time and Work