One lap around a dirt track is 1/3 mile. It takes Bryce 1/9 hour to ride one lap. What is Bryce’s unite rate, in miles, around the track?

1 Answer
Tony B
Jun 26, 2018

2 miles per hour

Explanation:

#color(blue)("Method")#

what we are looking for is miles in 1 hour mph
#->("miles")/("hour") -> "miles" -:"hours"#

So the unit of measurement of miles per hour is telling us that we divide the time into the distance.

Distance #-:# time #color(white)("d")->color(white)("d") 1/3" mile" -: 1/9" hours"color(white)("ddd") =color(white)("ddd") (1/3-:1/9) color(white)("d")("miles")/("hour")#

We have divided the numbers #(1/3-:1/9) # and we have divided the unites of measurement #("miles")/("hour")#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("The calculation")#

#1/3-:1/9color(white)("ddd") ->color(white)("ddd") 1/cancel(3)^1xxcancel(9)^2/1color(white)("d")=color(white)("d")2color(white)("d")("miles")/("hour")#

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