A can complete a work in 32 days and B in 19 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 32 days and B in 19 days. If both work together, in how many days will the work be completed?

A. 19.42

B. 16.92

C. 14.42

D. 11.92

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/32 + 1/19. Time = 11.92 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 23 days and B in 21 days. If both work together, in how many days will the work be completed?

A. 10.98

B. 15.98

C. 18.48

D. 13.48

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Correct Answer: Option A

Explanation:
Combined rate = 1/23 + 1/21. Time = 10.98 days.

This question belongs to: Maths Time and Work

Question #2

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A is twice as fast as B. If A and B together can complete a piece of work in 8 days, in how many days can A alone complete it?

A. 24 days

B. 10 days

C. 16 days

D. 12 days

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Correct Answer: Option D

Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3 units/day. Total work = 8 * 3 = 24 units. Time taken by A alone = 24 / 2 = 12 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 23 days. What percentage of the work will be completed in 7 days?

A. 37.93

B. 30.43

C. 32.93

D. 35.43

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Correct Answer: Option B

Explanation:
Completed percentage = (7/23)×100 = 30.43%.

This question belongs to: Maths Time and Work

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