Question

Dante is on a hike. He notices that after 2 hours he has hiked 724 miles

Dante stops walking after 52 hours. if he waked at the same rate the
entire time, how far did Dante wak? (Round your answer to the nearest
tenth of a mile) *

Answer 1

18,824.0 miles

Explanation:

1 - Pull apart the problem

After 2 hours he hiked 724 miles

In that same rate for 52 hours he walked
`x` miles.

THINGS TO UNDERSTAND

Travelling Rate = miles per hour = miles/hour

Same rate means the two are directly proportional.

2 - Solve

Write the proportion

`(724)/(2) = (x)/(52)`

Get x by itself using properties of equalities

`(52)/(1) * (724)/(2) = (x)/(52) *(52)/(1)`

On the right side the 52's cancel out leaving just x

On the left side you're left with (724*52)/(1 * 2) or 37,648/2 which simplifies to 18,824.0 miles

Sorry, I just realized this was the harder way, if you want to do this problem the easier way its the 724/2 to get miles per hour and then multiply that into the 52 hours to get the same answer.

Hope this helps,

- J.M."Jamon"

Pennsylvania State University Park

Full-time B.S.CE. undergrad student