Question

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

Answer 1

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 $\frac{2.5}{30}$ miles.

For x minute it cover 26 miles

For 1 minute it cover $\frac{26}{x}$ miles.

Equating the equation we get,

$\frac{2.5}{30}=\frac{26}{x}$

$\frac{30}{2.5}\times 26=x$

$x=26\times 12$

$x=312$

Therefore, Option C is correct.