A can complete a work in 9 days and B in 13 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

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A can complete a work in 9 days and B in 13 days. If they work together, the work will be completed in:

A. 15.32

B. 20.32

C. 10.32

D. 5.32

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/9 + 1/13. Required time = 5.32 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 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. 14.0

B. 10.0

C. 12.0

D. 16.0

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Correct Answer: Option B

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

This question belongs to: Maths Time and Work

Question #2

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A and B can complete a work in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?

A. 8 days

B. 10 days

C. 9 days

D. 11 days

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Correct Answer: Option C

Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 3 * 7 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B to complete remaining work = 27 / 3 = 9 days.

This question belongs to: Maths Time and Work