Seth is training for a marathon he’s aleady running 2.5 miles 5 time a week. It takes him 30 minutes to run 2.5 miles He calculates how long will it take him to run the full 26 miles.
A. 5/30=26/x=156
B. 2.5/30=x/26 x=2.17
C. 2.5/30=26/x x=312
D. 2.5/26=x/30 x=2.88

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tardymanchester tardymanchester · Answer 1 · 2019-02-21T06:21:36+01:00

Answer:

Option C

Step-by-step explanation:

Given : Seth is training for a marathon he’s already running 2.5 miles 5 time a week. It takes him 30 minutes to run 2.5 miles

To find : How long will it take him to run the full 26 miles.

Solution :

Let x be the time taken to cover 26 miles.

It takes him 30 minutes to run 2.5 miles

For 1 minute it cover [tex]\frac{2.5}{30}[/tex] miles.

For x minute it cover 26 miles

For 1 minute it cover [tex]\frac{26}{x}[/tex] miles.

Equating the equation we get,

[tex]\frac{2.5}{30}=\frac{26}{x}[/tex]

[tex]\frac{30}{2.5}\times 26=x[/tex]

[tex]x=26\times 12[/tex]

[tex]x=312[/tex]

Therefore, Option C is correct.