A can complete a work in 30 days and B in 29 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 30 days and B in 29 days. If both work together, in how many days will the work be completed?

A. 17.25

B. 22.25

C. 14.75

D. 19.75

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/30 + 1/29. Time = 14.75 days.

This question belongs to: Maths Time and Work

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Question #1

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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. 6 days

B. 5 days

C. 3 days

D. 4 days

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Correct Answer: Option D

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

Question #2

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A can do a work in 24 days and B in 32 days. If they work together and get Rs. 5600 for the work, what is B's share?

A. Rs. 3000

B. Rs. 3200

C. Rs. 2800

D. Rs. 2400

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Correct Answer: Option D

Explanation:
Ratio of time taken by A : B = 24 : 32 = 3 : 4. Ratio of efficiency of A : B = 4 : 3. Total ratio parts = 4 + 3 = 7. B's share = (3 / 7) * 5600 = 3 * 800 = Rs. 2400.

This question belongs to: Maths Time and Work