Question

Erica can run $\frac{1}{6}\text{km}$ in a minute. Her school is $\frac{3}{4}\text{km}$ away from her home.
At this speed, how long would it take Erica to run home from school?

• A. $\frac{1}{4}$ min
• B. $\frac{9}{2}$ min
• C. $\frac{1}{6}$ min
• D. $\frac{2}{9}$ min

Answer 1

The correct option is B $\frac{9}{2}$ min

$\text{Amount of time}=\frac{\text{Distance from her home}}{\text{Distance she ran each minute}}$

$\Rightarrow \text{Amount of time}=\frac{3}{4}÷\frac{1}{6}$

$\Rightarrow \text{Amount of time}=\frac{3}{4}\times \frac{6}{1}$

$\Rightarrow \text{Amount of time}=\frac{9}{2}\text{min}$

Therefore time taken by Erica to run home from school is $\frac{9}{2}$ min