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

A. 19.5

B. 24.5

C. 9.5

D. 14.5

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/19 + 1/19. Required time = 9.5 days.

This question belongs to: Maths Time and Work

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Question #1

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A is twice as fast as B and B is twice as fast as C. If they together can complete a work in 4 days, in how many days can C alone complete it?

A. 28 days

B. 32 days

C. 16 days

D. 24 days

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Correct Answer: Option A

Explanation:
Let efficiency of C = 1, then B = 2 and A = 4. Combined efficiency = 1 + 2 + 4 = 7 units/day. Total work = 4 * 7 = 28 units. Time taken by C alone = 28 / 1 = 28 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?

A. 31.82

B. 34.32

C. 36.82

D. 39.32

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.

This question belongs to: Maths Time and Work

Question #3

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A and B work together. A alone can complete the work in 24 days and B alone in 32 days. What percentage of the total daily work is contributed by A?

A. 62.14

B. 57.14

C. 64.64

D. 59.64

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Correct Answer: Option B

Explanation:
A share = (1/24) / (1/24+1/32) ×100 = 57.14%.

This question belongs to: Maths Time and Work

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