A can complete a work in 10 days and B can complete the same work in 25 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 10 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?

A. 13.14

B. 9.14

C. 11.14

D. 7.14

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 days.

This question belongs to: Maths Time and Work

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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. 18 hours

B. 14 hours

C. 24 hours

D. 12 hours

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Correct Answer: Option C

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