Answered

Each week, Rosario drives to an ice skating rink that is 120 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?

Verified Answer :

taskmasters

While going to the ice
skating rink,
Rosario drives a distance of 55 miles in = 1 hour


Then


While going to the
ice skating rink,
Rosario

drives a distance of
120 miles in = (1/55) * 120

                                                                                                         = 2.18 hours


The number of miles
per hour Rosario averages while coming back home = x

Total up and down
time taken by Rosario = 2.75 hours


Then time taken by
Rosario to come

back
home from ice
skating rink = (2.75 – 2.18) hours

                                                     =
0.57 hours


Then we can write
the equation as

 x = 120/0.57
miles/hour

  
    = 210.53 miles/hour

So the average speed
of Rosario while coming back home from ice skating rink is 210.53 miles per
hour.

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