Video Transcript
Use the table to determine
which runners ran at the same rate.
In order to answer this
question, we will look at the ratio of each runner of their time in hours to
distance in miles. For Liam, this is two to
10. He jogged 10 miles in two
hours. James’s ratio was three to 18
as he ran 18 miles in three hours. The corresponding ratios for
David and Michael were four to 20 and three to 12, respectively. In order to compare two or more
ratios, we need to write them in the form one to 𝑛. This is the unit rate or unit
ratio. In this question, it will be
the distance that each runner jogged in one hour.
For Liam, we will divide both
sides of the ratio by two. This means that Liam ran a
distance of five miles per hour. We divide the two parts of
James’s ratio by three. This gives us a ratio of one to
six. So, James ran six miles in one
hour. Repeating this for David and
Michael tells us that David ran five miles per hour and Michael ran four miles
per hour. We’ve been asked to identify
which runners ran at the same rate. As both Liam and David had the
same unit ratio of one to five, we can conclude that they ran at the same
rate.