Answer:
She will go 2.8125 miles in her third run
Step-by-step explanation:
- Karen is training for her upcoming track meet
- She makes 3 practice runs in a 1.5 hour time period
- She runs [tex]\frac{3}{4}[/tex] the distance of each of previous run
- If she ran 5 miles on the first run, how far will she go on her third run
- Assume that she will run x miles in her 1st run
∵ The distance of the 1st run is x
∵ She runs [tex]\frac{3}{4}[/tex] the distance of each of previous run
∴ The distance of her 2nd run is [tex]\frac{3}{4}x[/tex]
∴ The distance of her 3rd run is [tex]\frac{3}{4}[/tex] ([tex]\frac{3}{4}x[/tex])
∴ The distance of her 3rd run is [tex]\frac{9}{16}x[/tex]
∵ She ran 5 miles on the 1st run
- Substitute x by 5
∴ The distance of her 2rd run = [tex]\frac{3}{4}(5)[/tex]
∴ The distance of her 2rd run = 3.75 miles
∴ The distance of her 3rd run = [tex]\frac{9}{16}(5)[/tex]
∴ The distance of her 3rd run = 2.8125 miles
* She will go 2.8125 miles in her third run
