A can complete a work in 15 days and B in 26 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 15 days and B in 26 days. If they work together, the work will be completed in:

A. 14.51

B. 9.51

C. 19.51

D. 24.51

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/15 + 1/26. Required time = 9.51 days.

This question belongs to: Maths Time and Work

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Question #1

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A is 40% more efficient than B. If B alone can complete a work in 14 days, then in how many days can A alone complete the same work?

A. 10 days

B. 8 days

C. 12 days

D. 9 days

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Correct Answer: Option A

Explanation:
Let efficiency of B = 100, then efficiency of A = 140. Ratio of efficiency of A : B = 140 : 100 = 7 : 5. Total work = Efficiency of B * Time of B = 5 * 14 = 70 units. Time taken by A alone = 70 / 7 = 10 days.

This question belongs to: Maths Time and Work

Question #2

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23 men can complete a work in 26 days. If 31 men work at the same rate, how many days are required?

A. 24.29

B. 26.79

C. 19.29

D. 21.79

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Correct Answer: Option C

Explanation:
Total work = 598 man-days. Days = 19.29.

This question belongs to: Maths Time and Work

Question #3

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17 men can complete a work in 21 days. If 21 men work at the same rate, in how many days will the work be completed?

A. 19.0

B. 17.0

C. 21.0

D. 23.0

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Correct Answer: Option B

Explanation:
Total work = 17 × 21 = 357 man-days. Required days = 357/21 = 17.0 days.

This question belongs to: Maths Time and Work

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