A can complete a work in 18 days and B in 27 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 18 days and B in 27 days. If they work together, the work will be completed in:
A. 25.8
B. 20.8
C. 10.8
D. 15.8
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/18 + 1/27. Required time = 10.8 days.

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Practice More Time and Work Questions

Question #1
A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. Find the original number of workers.
A. 110
B. 100
C. 120
D. 55

Correct Answer: Option A


Explanation:
Let the original number of workers be x. Using M1 * D1 = M2 * D2: x * 100 = (x - 10) * 110 => 100x = 110x - 1100 => 10x = 1100 => x = 110.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 13 days and B in 42 days. If both work together, in how many days will the work be completed?
A. 17.43
B. 14.93
C. 9.93
D. 12.43

Correct Answer: Option C


Explanation:
Combined rate = 1/13 + 1/42. Time = 9.93 days.

This question belongs to: Maths Time and Work
Question #3
17 men can complete a work in 27 days. If 21 men work at the same rate, in how many days will the work be completed?
A. 21.86
B. 27.86
C. 23.86
D. 25.86

Correct Answer: Option A


Explanation:
Total work = 17 × 27 = 459 man-days. Required days = 459/21 = 21.86 days.

This question belongs to: Maths Time and Work