To determine the rate of travel in kilometers per hour, we start by converting the mixed fractions into improper fractions for easier calculation.
1. For the total distance traveled:
[tex]\( 47 \frac{2}{3} \)[/tex] kilometers can be converted into an improper fraction.
[tex]\[
47 \frac{2}{3} = 47 + \frac{2}{3} = \frac{141}{3} + \frac{2}{3} = \frac{141 + 2}{3} = \frac{143}{3} \text{ kilometers}
\][/tex]
2. For the total time taken:
[tex]\( 4 \frac{1}{3} \)[/tex] hours can be converted similarly.
[tex]\[
4 \frac{1}{3} = 4 + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \text{ hours}
\][/tex]
3. Now, we need to find the rate in kilometers per hour by dividing the total distance by the total time.
[tex]\[
\text{Rate} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{\frac{143}{3}}{\frac{13}{3}}
\][/tex]
4. Dividing fractions involves multiplying by the reciprocal of the divisor:
[tex]\[
\frac{\frac{143}{3}}{\frac{13}{3}} = \frac{143}{3} \times \frac{3}{13} = \frac{143 \times 3}{3 \times 13} = \frac{143}{13} = 11
\][/tex]
Hence, the rate of travel is 11 kilometers per hour. Therefore, the correct answer is:
B. 11 kilometers per hour
