A can complete a work in 30 days and B in 22 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 30 days and B in 22 days. If both work together, in how many days will the work be completed?

A. 20.19

B. 12.69

C. 15.19

D. 17.69

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/30 + 1/22. Time = 12.69 days.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 14 days and B can complete the same work in 29 days. If they work together, in how many days will the work be completed?

A. 11.44

B. 9.44

C. 15.44

D. 13.44

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Correct Answer: Option B

Explanation:
Combined rate = 1/14 + 1/29. Time = 1 ÷ combined rate = 9.44 days.

This question belongs to: Maths Time and Work

Question #2

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A and B together can do a piece of work in 8 days, B and C together in 12 days, and C and A together in 16 days. In how many days can A, B and C together finish the work?

A. 8(2/13) days

B. 7(5/13) days

C. 6(6/13) days

D. 5(5/13) days

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Correct Answer: Option B

Explanation:
Total work = LCM(8, 12, 16) = 48 units. Efficiency of (A+B) = 6, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2 * (A+B+C) = 13, so efficiency of (A+B+C) = 13/2. Time taken = 48 / (13/2) = 96 / 13 = 7(5/13) days.

This question belongs to: Maths Time and Work