A can complete a work in 19 days and B in 30 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 19 days and B in 30 days. If they work together, the work will be completed in:

A. 26.63

B. 21.63

C. 11.63

D. 16.63

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/19 + 1/30. Required time = 11.63 days.

This question belongs to: Maths Time and Work

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Question #1

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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. 17.0

B. 23.0

C. 21.0

D. 19.0

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Correct Answer: Option A

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

This question belongs to: Maths Time and Work

Question #2

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12 men can complete a work in 14 days. If 17 men work at the same rate, the work will be completed in:

A. 19.88

B. 9.88

C. 24.88

D. 14.88

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Correct Answer: Option B

Explanation:
Total work = 168 man-days. Time = 168/17 = 9.88 days.

This question belongs to: Maths Time and Work

Question #3

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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. 9 days

B. 10 days

C. 12 days

D. 11 days

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Correct Answer: Option C

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

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