Question

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run? In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.

Answer 1

Given :   trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour.  

To find : Selma’s unit rate in miles per hour for Monday’s run

Solution:

trail is a loop that is 3/4 of a mile long

=> Distance covered  = 3/4  miles

Time taken = 1/6  hr

to have common denominator lets take LCM of Denominators 4 & 6

4 = 2 * 2

6 = 2 * 3

LCM ( 4 , 6) = 2 * 2 * 3 = 12

3/4  =  9/12  Miles

1/6 hr  = 2/12  hr

Selma’s unit rate in miles per hour  =  (9/12) / ( 2/12)  miles per hr

= 9/2  miles per hr

= 4.5 Miles per hr

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