Each week, rosario drives to an ice skating rink that is 60 miles away. the round-trip takes 2.75 hours. if he averages 55 miles per hour on his way to the rink, which equation can be used to find x, the number of miles per hour he averages on his way home?

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

Put all the values in the formula

we get

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

thus the equation becomes

Totat time = T(1)+ T (2)

Now solving the above term

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