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aleksley [76]
3 years ago
15

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?
Mathematics
1 answer:
shusha [124]3 years ago
4 0

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

* <em>She will go 2.8125 miles in her third run</em>

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