A can complete a work in 20 days and B in 43 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 20 days and B in 43 days. If both work together, in how many days will the work be completed?

A. 18.65

B. 21.15

C. 16.15

D. 13.65

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/20 + 1/43. Time = 13.65 days.

This question belongs to: Maths Time and Work

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If 8 men and 12 boys can finish a piece of work in 10 days, while 6 men and 8 boys can finish it in 14 days, find the time taken by 1 man alone to complete the work.

A. 140 days

B. 100 days

C. 160 days

D. 120 days

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Correct Answer: Option A

Explanation:
Total work = 10 * (8M + 12B) = 14 * (6M + 8B) => 80M + 120B = 84M + 112B => 4M = 8B => 1M = 2B. Total work = 10 * (8M + 6M) = 140M. Thus, 1 man alone will take 140 days.

This question belongs to: Maths Time and Work