A can complete a work in 20 days and B can complete the same work in 20 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 20 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?

A. 16.0

B. 12.0

C. 10.0

D. 14.0

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/20 + 1/20. Time = 1 ÷ combined rate = 10.0 days.

This question belongs to: Maths Time and Work

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Question #1

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16 men can complete a work in 14 days. If 20 men work at the same rate, in how many days will the work be completed?

A. 11.2

B. 13.2

C. 15.2

D. 17.2

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Correct Answer: Option A

Explanation:
Total work = 16 × 14 = 224 man-days. Required days = 224/20 = 11.2 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 9 days and B in 24 days. If they work together, the work will be completed in:

A. 16.55

B. 11.55

C. 21.55

D. 6.55

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Correct Answer: Option D

Explanation:
Combined rate = 1/9 + 1/24. Required time = 6.55 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 18 days. What percentage of work will A complete in 6 days?

A. 33.33

B. 38.33

C. 43.33

D. 48.33

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Correct Answer: Option A

Explanation:
Percentage completed = (6/18) × 100 = 33.33%.

This question belongs to: Maths Time and Work

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