A can complete a work in 14 days and B can complete the same work in 19 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 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?

A. 14.06

B. 10.06

C. 12.06

D. 8.06

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 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 18 days. What percentage of work will A complete in 6 days?

A. 48.33

B. 38.33

C. 43.33

D. 33.33

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Correct Answer: Option D

Explanation:
Percentage completed = (6/18) × 100 = 33.33%.

This question belongs to: Maths Time and Work

Question #2

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A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work can they finish in a day?

A. 1/9

B. 1/6

C. 2/5

D. 1/4

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Correct Answer: Option B

Explanation:
Time taken by A = 18 days, so B takes 9 days. Efficiency of A = 1/18, B = 1/9. Together in one day = 1/18 + 1/9 = 3/18 = 1/6.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 24 days and B in 29 days. If they work together, the work will be completed in:

A. 13.13

B. 18.13

C. 23.13

D. 28.13

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Correct Answer: Option A

Explanation:
Combined rate = 1/24 + 1/29. Required time = 13.13 days.

This question belongs to: Maths Time and Work

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