A person walks 1/3 mile in 1/9 hour. whats the persons speed?

Answer 1

Speed is a rate of change. In this case, it represents a change in miles compared to a change in time. When we compare two quantities in math, we divide the numbers to find their basic relationship; a unit rate.

If the person walks 1/3 of a mile, we can divide that by 1/9 of an hour.

1/3 ÷ 1/9

When dividing a fraction by a fraction, we keep the first fraction the way it is, change our division into multiplication and flip the second fraction (which is multiplying by the reciprocal).

=1/3 × 9/1

=9/3

=3 miles per hour

The person's speed is 3 miles per hour.

If 1 hour is 3 miles, then 1/9 of an hour is 1/3 mile.