Question

Mike hiked to a lake in 4.5 hours at an average rate of 2

Answer 1

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 = $2\frac{1}{5}\ miles/hr$

Formula for distance can be seen as:

$Distance = Speed\times Time$

Distance traveled by Mike = $4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles$

Rate of Pedro while hiking the same distance = $2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr$

Given that, Pedro also travels the same distance.

And we have to find the Time.

$Time = \dfrac{Distance}{Speed}$

$Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}$

It took Pedro  3.81 hours to reach the lake.