A can complete a work in 21 days and B in 28 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 21 days and B in 28 days. If they work together, the work will be completed in:

A. 17.0

B. 27.0

C. 12.0

D. 22.0

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/21 + 1/28. Required time = 12.0 days.

This question belongs to: Maths Time and Work

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Question #1

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10 men can complete a work in 22 days. If 15 men work at the same rate, the work will be completed in:

A. 19.67

B. 24.67

C. 14.67

D. 29.67

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Correct Answer: Option C

Explanation:
Total work = 220 man-days. Time = 220/15 = 14.67 days.

This question belongs to: Maths Time and Work

Question #2

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A is twice as fast as B. If B can complete a work in 12 days, in how many days can A and B together complete the work?

A. 8 days

B. 6 days

C. 4 days

D. 3 days

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Correct Answer: Option C

Explanation:
B takes 12 days, so A takes 6 days. Total work = 12 units. Efficiency of A = 2, B = 1. Combined efficiency = 3 units/day. Time taken together = 12 / 3 = 4 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 16 days and B in 18 days. If they work together, the work will be completed in:

A. 23.47

B. 13.47

C. 8.47

D. 18.47

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Correct Answer: Option C

Explanation:
Combined rate = 1/16 + 1/18. Required time = 8.47 days.

This question belongs to: Maths Time and Work

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