Question

George walked 1/2 mile in 8 1/2 minutes. What is the unit rate in miles per minute?

Answer 1

Data:

Distance: 1/2 mile

Time: 8 and 1/2 minutes

The unit rate in miles per minute is the number of miles that George walked in a minute. Then, to find the rate in miles per minute:

1. The rate is the relation betwwen the distance and the time, and ollows the next formula:

`r=(d)/(t)`

Where r is the rate, d is the distance and t is the time.

Then we use that formula and the given values of d and t to find the rate:

`r=\frac{(1)/(2)\text{miles}}{(8+(1)/(2))\min }`

We can do first the add in the denominator:

`8+(1)/(2)=(16+1)/(2)=(17)/(2)`

Then we have that:

`r=((1)/(2))/((17)/(2))`
`r=((1)/(17))(miles)/(\min)\approx0.06(miles)/(\min )`The rate in miles per minute is: 1/17 miles/min or approx. 0.06miles/min