Question

Steve plans to open the restaurant for $24$ hours in the initial days. However, the rush hours are only for one-sixth of the day. Determine an equivalent fraction for $\frac{1}{6}$ and calculate the number of rush hours in a week.

• A. Equivalent fraction $=\frac{6}{7}$, Number of hours $=28$ hours
• B. Equivalent fraction $=\frac{7}{42}$ , Number of hours $=42$ hours
• C. Equivalent fraction $=\frac{7}{12}$ , Number of hours $=4$ hours
• D. Equivalent fraction $=\frac{7}{42}$ , Number of hours $=28$ hours

Answer 1

The correct option is D Equivalent fraction $=\frac{7}{42}$ , Number of hours $=28$ hours

Number of hours the restaurant is open each day $=24$ hours
Fraction of rush hours in the restaurant each day $=\frac{1}{6}$
Number of days in a week $=7$
Fraction of rush hours in the restaurant in a week $=\frac{1\times 7}{6\times 7}=\frac{7}{42}$
Total number of hours in a week $=24\times 7=168$
Number of hours in a week when there are maximum customers in the restaurant $=\frac{7}{42}\times 168=\frac{168}{6}=28$ hours
Hence, option D is the correct answer.