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21 Jan 2021, 03:45
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72% (01:25) correct
28%
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based on 79
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2 persons working 2 hours a day assemble 2 machines in 2 days. The number of machines assembled by 6 persons working 6 hours a day in 6 days is
(A) 6
(B) 18
(C) 27
(D) 54
(E) 56
(A) 6
(B) 18
(C) 27
(D) 54
(E) 56
24 Jan 2021, 12:25
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\(\frac{m_1d_1h_1}{w_1}=\frac{m_2d_2h_2}{w_2}\), whereas w = machines
\(\frac{2*2*2}{2}=\frac{6*6*6}{x}\)
\(x=\frac{6*6*6}{2*2}=6*9=54\)
\(\frac{2*2*2}{2}=\frac{6*6*6}{x}\)
\(x=\frac{6*6*6}{2*2}=6*9=54\)
22 Mar 2021, 17:17
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2 persons working 2 hours a day assemble 2 machines in 2 days. The number of machines assembled by 6 persons working 6 hours a day in 6 days is
Work=Rate·Time
Time (hours): 2 hours·2 shifts of two hours·2 cause two people putting in the work=8
Work (machines): 2
Rate
one person produces \(\frac{2 machines}{8 hours}=\frac{0.25 machines}{hour}\)
Work=Rate·Time
Work=\(\frac{0.25 machines}{1 hour}·(6 persons·6 hours·6 shifts) hours\)
Work=\(\frac{(0.25 machines·6^3 hour)}{1 hour}\)
Work=\((0.25 machines·6^3)\)
Work=\((0.25 machines·216)\)
Work=54 machines
Work=Rate·Time
Time (hours): 2 hours·2 shifts of two hours·2 cause two people putting in the work=8
Work (machines): 2
Rate
one person produces \(\frac{2 machines}{8 hours}=\frac{0.25 machines}{hour}\)
Work=Rate·Time
Work=\(\frac{0.25 machines}{1 hour}·(6 persons·6 hours·6 shifts) hours\)
Work=\(\frac{(0.25 machines·6^3 hour)}{1 hour}\)
Work=\((0.25 machines·6^3)\)
Work=\((0.25 machines·216)\)
Work=54 machines
