A can complete a work in 11 days and B can complete the same work in 31 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 11 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?

A. 12.12

B. 8.12

C. 10.12

D. 14.12

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/11 + 1/31. Time = 1 ÷ combined rate = 8.12 days.

This question belongs to: Maths Time and Work

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Question #1

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A can do a work in 15 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 10.98

B. 5.98

C. 8.48

D. 13.48

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 22 days and B can complete the same work in 17 days. If they work together, in how many days will the work be completed?

A. 15.59

B. 9.59

C. 11.59

D. 13.59

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Correct Answer: Option B

Explanation:
Combined rate = 1/22 + 1/17. Time = 1 ÷ combined rate = 9.59 days.

This question belongs to: Maths Time and Work

Question #3

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19 men can complete a work in 17 days. If 23 men work at the same rate, in how many days will the work be completed?

A. 14.04

B. 20.04

C. 16.04

D. 18.04

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Correct Answer: Option A

Explanation:
Total work = 19 × 17 = 323 man-days. Required days = 323/23 = 14.04 days.

This question belongs to: Maths Time and Work

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