# At top speed, a rabbit can cover 7 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert?

Oct 14, 2016

It would take the rabbit $2$ days $14$ hours and $5 \frac{1}{7}$ minutes to cross the Mojave Desert.

#### Explanation:

Set up and solve a proportion, with each ratio being in the form $\frac{m i}{\min}$.

$\frac{7 m i}{12 \min} = \frac{220 m i}{x}$
$7 x m i = 2640 m i \cdot \min$
$\frac{7 x m i}{7 m i} = \frac{2640 m i \cdot \min}{7 m i}$
$x = 377 \frac{1}{7} \min$

$x = 377 \frac{1}{7} \min \cdot \frac{1 h r}{60 \min} = 62 h r 5 \frac{1}{7} \min$

Converting to days, hours, and minutes (divide the hours by $24$), gives us

$x = 2$ days $14$ hours $5 \frac{1}{7}$ minutes