Question

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

1
5
miles per hour. Pedro hiked the same distance at a rate of 2
3
5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

It took Pedro
hours to reach the lake.

Answer 1

It took Pedro 3.81 hours to reach the lake.

Explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake =
`2(1)/(5)\ miles/hr`

Formula for distance can be seen as:

`Distance = Speed* Time`

Distance traveled by Mike =
`4.5 * 2(1)/(5) = 4.5* (11)/(5) = 9.9\ miles`

Rate of Pedro while hiking the same distance =
`2(3)/(5)\ miles/hr = (13)/(5)\ miles/hr`

Given that, Pedro also travels the same distance.

And we have to find the Time.

`Time = (Distance)/(Speed)`

`Time = (9.9)/((13)/(5))\\\Rightarrow Time = (9.9* 5)/(13) = \bold{3.81\ hours}`

It took Pedro 3.81 hours to reach the lake.