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. MCQ with Answer and Explanation

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. 100 days
B. 120 days
C. 140 days
D. 160 days
Answer: Option C
Solution (By JKSSB Mock Tests)
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.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 18 days and B alone in 28 days. What percentage of the total daily work is contributed by A?
A. 63.37
B. 60.87
C. 65.87
D. 68.37

Correct Answer: Option B


Explanation:
A share = (1/18) / (1/18+1/28) ×100 = 60.87%.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 17 days and B in 21 days. If they work together, the work will be completed in:
A. 24.39
B. 19.39
C. 14.39
D. 9.39

Correct Answer: Option D


Explanation:
Combined rate = 1/17 + 1/21. Required time = 9.39 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 21 days and B in 25 days. If they work together, the work will be completed in:
A. 21.41
B. 16.41
C. 11.41
D. 26.41

Correct Answer: Option C


Explanation:
Combined rate = 1/21 + 1/25. Required time = 11.41 days.

This question belongs to: Maths Time and Work