Question

Suzanna walked two over seven of a mile in two over five of an hour. What is her unit rate in miles per hour?

Answer 1

Two sevenths over two fifths = five over seven mile per hour

The unit rate is 5 over 7 miles per hour

Solution:

Given that, Suzanna walked two over seven of a mile in two over five of an hour

We have to find the unit rate in miles per hour

Unit rate means number of miles covered in 1 hour

From given information,

Two over seven of a mile in two over five of an hour

Which means,

$\frac{2}{7} \text{ miles } = \frac{2}{5} \text{ hour }$

$\text{ So she covered } \frac{2}{7} \text{ miles in } \frac{2}{5} \text{ hour }$

To find for number of miles covered in 1 hour, divide the $\frac{2}{7} \text{ by } \frac{2}{5}$

$\text{Unit rate in miles per hour } = \frac{\frac{2}{7}}{\frac{2}{5}}\\\\\text{Unit rate in miles per hour } = \frac{2}{7} \times \frac{5}{2} = \frac{5}{7}$

Two sevenths over two fifths = five over seven mile per hour

Thus unit rate is 5 over 7 miles per hour