Yolanda runs 10 miles in 75 minutes.At the same rate, how many miles would she run in 69 minutes?

Answer 1

This is a PROPORTION Problem or a linear equation problem.

Let's do the latter:

d, distance, = mt + b; if Yolanda runs 10 miles in 75 minutes then her rate, or the slope, m, of our linear equation is 10 miles/75 minutes or 2/15 miles/minute. If she runs for 0 minutes, the linear equation's intercept is 0, as she will not go anywhere.

So our equation reduces to d = mt + 0 or d = mt where t is the amount of time that she runs.

So we have, d = (2/15)*(miles/minute)*(69)*minutes = 9.2 miles.

Now let's do it the proportion way:

10/75 = d/69, multiplying both sides of the equation by 69 tells us that

(10/75)*69 = d, or d = 9.2 miles.

Answer 2

Her rate is (10/75) miles per minute.= 2/15 miles per minute

In 69 minutes she would run 69 * (2/15) miles = 23*3*2/(5*3) miles = 9 1/5 miles.