A can complete a work in 12 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

Question

A can complete a work in 12 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?

A. 8.73

B. 14.73

C. 10.73

D. 12.73

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/12 + 1/32. Time = 1 ÷ combined rate = 8.73 days.

This question belongs to: Maths Time and Work

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Question #1

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A is 50% more efficient than B. If A can complete a piece of work in 12 days, in how many days can B complete the same work?

A. 15 days

B. 18 days

C. 20 days

D. 24 days

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Correct Answer: Option B

Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Total work = Efficiency of A * Time of A = 3 * 12 = 36 units. Time taken by B = 36 / 2 = 18 days.

This question belongs to: Maths Time and Work

Question #2

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20 men can complete a work in 22 days. If 25 men work at the same rate, the work will be completed in:

A. 22.6

B. 17.6

C. 32.6

D. 27.6

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Correct Answer: Option B

Explanation:
Total work = 440 man-days. Time = 440/25 = 17.6 days.

This question belongs to: Maths Time and Work

Question #3

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13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in:

A. 31.67

B. 26.67

C. 36.67

D. 21.67

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Correct Answer: Option D

Explanation:
Total work = 390 man-days. Time = 390/18 = 21.67 days.

This question belongs to: Maths Time and Work

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