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A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?

Sagot :

Answer:

8 miles

Step-by-step explanation:

Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___

To find: At this rate, how many miles can he run and 41.6 minutes?

Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:

let x be the variable

[tex]\frac{26}{5} = \frac{41.6}{x}[/tex]

Apply fraction cross multiply;

[tex]26x=5\cdot \:41.6[/tex]

[tex]26x = 208[/tex]

Divide both sides by 26

[tex]\frac{26x}{26}=\frac{208}{26}[/tex]

Simplify

[tex]x = 8[/tex]

Then, at the rate, the runner ran 8 miles 41.6 minutes

5 miles = 26 min

41.6 min / 5 miles = 8.32 miles

round off = 8 miles

The runner will run 8 miles total and 41.6 minutes