12 men can complete a piece of work in 36 days. In how many days will 18 men complete the same work? MCQ with Answer and Explanation

12 men can complete a piece of work in 36 days. In how many days will 18 men complete the same work?
A. 30 days
B. 24 days
C. 28 days
D. 18 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Using M1 * D1 = M2 * D2: 12 * 36 = 18 * D2 => D2 = (12 * 36) / 18 = 12 * 2 = 24 days.

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Practice More Time and Work Questions

Question #1
A is twice as efficient as B. If they complete a work together in 14 days, how many days will A alone take to complete it?
A. 35 days
B. 21 days
C. 28 days
D. 42 days

Correct Answer: Option B


Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3. Total work = 14 * 3 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work
Question #2
A and B can complete a piece of work in 20 days and 30 days respectively. If they work on alternate days starting with B, in how many days will the work be finished?
A. 23 days
B. 26 days
C. 24 days
D. 25 days

Correct Answer: Option C


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 2 days (B then A), work completed = 2 + 3 = 5 units. Time taken to complete 60 units = (60 / 5) * 2 = 24 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 26 days and B in 20 days. If both work together, in how many days will the work be completed?
A. 11.3
B. 18.8
C. 13.8
D. 16.3

Correct Answer: Option A


Explanation:
Combined rate = 1/26 + 1/20. Time = 11.3 days.

This question belongs to: Maths Time and Work