Answer:
b) [tex]d[/tex] = 84 miles
c) [tex]h[/tex] = 14.3 hours
Step-by-step explanation:
Given that:
The speed of Colton is constant while riding a bike.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
If speed is constant, then we can deduct that:
[tex]Distance \propto Time[/tex]
Time = 3.5 hours
Distance = 49 miles
Therefore, the speed will be equal to:
Speed = [tex]\frac{49}{3.5}[/tex] = 14 miles/hr
b) Given that:
Time = 6 hours, then we have to find the distance to be hiked if the speed is same.
[tex]14 = \dfrac{d}{6}\\\Rightarrow d = \bold{84}\ miles/hr[/tex]
c) Given that:
Distance = 200 miles
Number of hours = [tex]h[/tex]
To find, the value of [tex]h[/tex].
[tex]14 = \dfrac{200}{h}\\\Rightarrow h = \dfrac{200}{14}\\\Rightarrow h = \bold{14.3}\ hours[/tex]
