A can complete a work in 16 days and B in 27 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 16 days and B in 27 days. If both work together, in how many days will the work be completed?

A. 15.05

B. 10.05

C. 12.55

D. 17.55

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/16 + 1/27. Time = 10.05 days.

This question belongs to: Maths Time and Work

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Question #1

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A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. In how many days will A, B, and C finish it working together?

A. 10 days

B. 12 days

C. 5 days

D. 8 days

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Correct Answer: Option A

Explanation:
2(A + B + C)'s 1-day work = 1/12 + 1/15 + 1/20 = 12/60 = 1/5. Therefore, (A + B + C)'s 1-day work = 1/10. Working together, they finish in 10 days.

This question belongs to: Maths Time and Work

Question #2

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10 men can complete a work in 22 days. If 15 men work at the same rate, the work will be completed in:

A. 19.67

B. 24.67

C. 14.67

D. 29.67

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Correct Answer: Option C

Explanation:
Total work = 220 man-days. Time = 220/15 = 14.67 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 24 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed?

A. 18.0

B. 14.0

C. 16.0

D. 12.0

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Correct Answer: Option D

Explanation:
Combined rate = 1/24 + 1/24. Time = 1 ÷ combined rate = 12.0 days.

This question belongs to: Maths Time and Work

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