Answer:
The speed of slow hiker = 1.1 mph
The speed of fast hiker = x + 4.4 = 1.1 + 4.4 = 5.5 mph
Step-by-step explanation:
Let 'x' be the rate of each hiker if one hiker walks 4.4 mph faster than the other.
- Two hikers are 66 miles apart and walking toward each other.
And we have to determine the rate of each hiker if one hiker walks 4.4 mph faster than the other.
so the equation becomes
[tex]10x+10\left(x+4.4\right)=66[/tex]
[tex]10x+10x+44=66[/tex]
[tex]20x+44=66[/tex]
[tex]20x=22[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}20[/tex]
[tex]\frac{20x}{20}=\frac{22}{20}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{11}{10}[/tex]
[tex]x=1.1[/tex]
Therefore, the speed of slow hiker = 1.1 mph
The speed of fast hiker = x + 4.4 = 1.1 + 4.4 = 5.5 mph
