Question #4419b

Mar 17, 2017

Distance = $\frac{6}{250} = 0.024$ miles

Explanation:

Although the question looks confusing, it is just because of the fractions which have been given,

Consider the following:
A car travels $120$ miles in $2$ hours,

We can easily see that
$120$ miles is a distance and $2$ hours is a time.

We can calculate the speed of the car:
$S = \frac{d}{t} = \frac{120}{2} = 60$mph

Therefore in $1$ hour the car travels $60$ miles

We have the same type of information for the snail, the values are just fractions.

The snail:
covers a distance of $\frac{1}{50}$ of a mile in a time of $\frac{5}{6}$ of an hour.

We can calculate the speed of the snail:
$S = \frac{d}{t} = \frac{\frac{1}{50}}{\frac{5}{6}}$ which can be written as $\frac{1}{50} \div \frac{5}{6}$

$S = \frac{1}{50} \times \frac{6}{5} = \frac{6}{250}$ mph

Therefore in $1$ hour the snail moves $\frac{6}{250}$ mile.

$0.024$ miles