Question

susan walked $\frac{1}{4}$ mile in $\frac{1}{6}$ hour. how long will it take susan to walk $2\frac{1}{2}$ miles? enter your answer as a mixed number in simplest for ○ 5/12 ○ 1 2/3 ○ 4/15 ○ 5/48

Explanation:

Step1: Calculate walking speed

Speed = $\frac{\text{Distance}}{\text{Time}} = \frac{\frac{1}{4}}{\frac{1}{6}} = \frac{1}{4} \times 6 = \frac{3}{2}$ miles per hour

Step2: Convert target distance to improper fraction

$2\frac{1}{2} = \frac{5}{2}$ miles

Step3: Calculate time for target distance

Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{\frac{5}{2}}{\frac{3}{2}} = \frac{5}{2} \times \frac{2}{3} = \frac{5}{3} = 1\frac{2}{3}$ hours

Answer:

1 2/3