A can complete a work in 24 days and B in 18 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 24 days and B in 18 days. If they work together, the work will be completed in:

A. 25.29

B. 10.29

C. 15.29

D. 20.29

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/24 + 1/18. Required time = 10.29 days.

This question belongs to: Maths Time and Work

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Question #1

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A tank can be filled by pipe A in 6 hours and emptied by pipe B in 8 hours. If both pipes are opened together, how much time will it take to fill the empty tank?

A. 12 hours

B. 18 hours

C. 14 hours

D. 24 hours

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Correct Answer: Option D

Explanation:
Total capacity = LCM(6, 8) = 24 units. Efficiency of A = +4, B = -3. Combined efficiency = 4 - 3 = 1 unit/hour. Time required = 24 / 1 = 24 hours.

This question belongs to: Maths Time and Work

Question #2

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A is 20% less efficient than B. If A can complete a work in 15 days, in how many days will B complete it?

A. 10 days

B. 9 days

C. 11 days

D. 12 days

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Correct Answer: Option D

Explanation:
Let efficiency of B = 5, then efficiency of A = 4. Total work = Efficiency of A * Time of A = 4 * 15 = 60 units. Time taken by B = 60 / 5 = 12 days.

This question belongs to: Maths Time and Work