Question

Karen is training for her upcoming track meet. She makes 3 practice runs in a 1.5 hour time period. She runs 3/4 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?

Answer 1

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 $\frac{3}{4}$ 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 $\frac{3}{4}$ the distance of each of previous run

∴ The distance of her 2nd run is $\frac{3}{4}x$

∴ The distance of her 3rd run is $\frac{3}{4}$ ($\frac{3}{4}x$)

∴ The distance of her 3rd run is $\frac{9}{16}x$

∵ She ran 5 miles on the 1st run

- Substitute x by 5

∴ The distance of her 2rd run =  $\frac{3}{4}(5)$

∴ The distance of her 2rd run = 3.75 miles

∴ The distance of her 3rd run =  $\frac{9}{16}(5)$

∴ The distance of her 3rd run = 2.8125 miles

* She will go 2.8125 miles in her third run