Answer :
Answer:
18,824.0 miles
Step-by-step explanation:
1 - Pull apart the problem
After 2 hours he hiked 724 miles
In that same rate for 52 hours he walked [tex]x[/tex] miles.
THINGS TO UNDERSTAND
Travelling Rate = miles per hour = miles/hour
Same rate means the two are directly proportional.
2 - Solve
Write the proportion
[tex]\frac{724}{2} = \frac{x}{52}[/tex]
Get x by itself using properties of equalities
[tex]\frac{52}{1} * \frac{724}{2} = \frac{x}{52} *\frac{52}{1}[/tex]
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