Given=
Rosario drives to an ice skating rink that is 60 miles round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink
Find out the number of miles per hour he averages on his way home
To Proof =
Total time taken = 2.75 hours
FIRST CASE
Rosario on his way to the rink
Rosario diatance travelled to ice skating rink = 60 miles
average miles per hour on his way to the rink = 55 miles per hour
Let the time taken by the Rosario on his way to the rink = T(1)
FORMULA
[tex]speed = \frac{distance}{time}[/tex]
Put all the values in the formula
we get
[tex]T(1) = \frac{60}{55}[/tex]
SECOND CASE
Rosario on his way to the home
Rosario diatance travelled to the home = 60 miles
average miles per hour on his way to the home = x
Let the time taken by the Rosario on his way to the home = T(2)
now put all these values in the above formula as mentioned above
[tex]T(2) =\frac{60}{x}[/tex]
thus the equation becomes
Totat time = T(1)+ T (2)
[tex]2.75 =\frac{60}{55} + \frac{60}{x}[/tex]
Now solving the above term
[tex]x =\frac{3300}{91.25}[/tex]
x = 36.16
x = 36.16 (approx)miles per hour
average miles per hour on his way to the home is 36.16 (approx)miles per hour
Hence proved
