Question

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? startfraction 60 over 55 endfraction startfraction 60 over x endfraction = 2.75 startfraction 60 over 55 endfraction times startfraction 60 over x endfraction = 2.75 60 (55) 60 x = 2.75 60 (55) times 60 x = 2.75

Answer 1

Equation can be used to find x is 60/55 + 60+x = 2.75

The time of going to rink is 2.75

We know,

speed = distance/time

⇒ Time = distance / speed

How to solve?

(1) Way to rink

Given :

Distance = 60 miles

Speed = 55 miles per hours,

⇒ Time taken by him = Distance / speed = 60/55 hours

(2) Way to home

Given : Distance = 60 miles

Let Speed be x,

⇒ Time taken by him = distance/speed = 60/x hours

Total time taken = 60/55 + 60+x

According to Question, Total time = 2.75 hours,

Thus,  60/55 + 60+x = 2.75 is the required equation.

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