A can complete a work in 24 days and B in 45 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 24 days and B in 45 days. If both work together, in how many days will the work be completed?

A. 20.65

B. 18.15

C. 23.15

D. 15.65

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/24 + 1/45. Time = 15.65 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 29 days. What percentage of the work will be completed in 7 days?

A. 26.64

B. 24.14

C. 29.14

D. 31.64

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Correct Answer: Option B

Explanation:
Completed percentage = (7/29)×100 = 24.14%.

This question belongs to: Maths Time and Work

Question #2

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21 men can complete a work in 29 days. If 29 men work at the same rate, how many days are required?

A. 26.0

B. 23.5

C. 28.5

D. 21.0

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Correct Answer: Option D

Explanation:
Total work = 609 man-days. Days = 21.0.

This question belongs to: Maths Time and Work

Question #3

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A, B and C can complete a work in 10, 12 and 15 days respectively. They start working together. Find the number of days required to complete the work.

A. 5 days

B. 4 days

C. 6 days

D. 3 days

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Correct Answer: Option B

Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work

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