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24 Mar 2025, 00:30
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If five average workers in a workshop take 24 minutes to string 80 violins, how long will it take twelve average workers to string 720 violins?
A. 80 minutes
B. 90 minutes
C. 100 minutes
D. 120 minutes
E. 180 minutes
A. 80 minutes
B. 90 minutes
C. 100 minutes
D. 120 minutes
E. 180 minutes
24 Mar 2025, 01:10
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5 workers string 80 violins in 24 minutes.
So, 1 worker strings \(\frac{80}{5} = 16\) violins in 24 minutes.
Thus, 1 worker's rate = \(\frac{16}{24} = \frac{2}{3}\) violins per minute.
12 workers' rate = \(12 \times \frac{2}{3} = 8\) violins per minute.
Time = \(\frac{720}{8} = 90\) minutes.
So, 1 worker strings \(\frac{80}{5} = 16\) violins in 24 minutes.
Thus, 1 worker's rate = \(\frac{16}{24} = \frac{2}{3}\) violins per minute.
12 workers' rate = \(12 \times \frac{2}{3} = 8\) violins per minute.
Time = \(\frac{720}{8} = 90\) minutes.
