A can complete a piece of work in 18 days, B in 24 days and C in 36 days. If they work together, in how many days will they finish the work? MCQ with Answer and Explanation

A can complete a piece of work in 18 days, B in 24 days and C in 36 days. If they work together, in how many days will they finish the work?
A. 8 days
B. 6 days
C. 7 days
D. 9 days
Answer: Option A
Solution (By JKSSB Mock Tests)
Total work = LCM(18, 24, 36) = 72 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9 units/day. Time taken together = 72 / 9 = 8 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 19 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?
A. 12.19
B. 18.19
C. 14.19
D. 16.19

Correct Answer: Option A


Explanation:
Combined rate = 1/19 + 1/34. Time = 1 ÷ combined rate = 12.19 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 14 days and B in 28 days. After working together for 5 days, what percentage of work remains?
A. 51.43
B. 53.93
C. 48.93
D. 46.43

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/14+1/28))×100 = 46.43%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 11 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?
A. 9.22
B. 11.22
C. 13.22
D. 7.22

Correct Answer: Option D


Explanation:
Combined rate = 1/11 + 1/21. Time = 1 ÷ combined rate = 7.22 days.

This question belongs to: Maths Time and Work