Mario worked at a rate of 2 2/3 mile every 10 minutes. what was his walking rate in miles per hour?

Question

Mario worked at a rate of 2 2/3 mile every 10 minutes. what was his walking rate in miles per hour?

Answer 1

He walks very fast!

 

Make a fraction for the distance / time

 

You can make 2-2/3 into a decimal so it might be easier.  2-2/3 = 2.6667

 

So, 2.6667 miles / 10 minutes

 

The miles are good on top, since you want miles per hour (per means divided by, or fraction)

 

But the minutes in the denominator are not good, you want miles.

So multiply your fraction by (60 minutes / 1 hour) --- this is actually = 1, since 60 minutes = 1 hour, so you are not changing the numeric answer of your fraction, just the units.

 

So, (2.6667 miles / 10 minutes)*(60 minutes / 1 hour)

The minutes cancel out and you get miles per hour

(2.6667 / 10)*(60 / 1 ) = 16

 

16 miles per hour ....  a very fast runner, and a world record!

Answer 2

We want to cancel the unit of minutes and convert to hours, so we must multiply by 60 min / 1 hr.

 

(2 2/3 miles / 10 minutes)  * (60 minutes / 1 hr) = (2 2/3 miles * 6) / 1 hr = 16 miles / 1 hr or 16 mph