Answer:
It took Pedro 3.81 hours to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = [tex]2\frac{1}{5}\ miles/hr[/tex]
Formula for distance can be seen as:
[tex]Distance = Speed\times Time[/tex]
Distance traveled by Mike = [tex]4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles[/tex]
Rate of Pedro while hiking the same distance = [tex]2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr[/tex]
Given that, Pedro also travels the same distance.
And we have to find the Time.
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}[/tex]
It took Pedro 3.81 hours to reach the lake.
