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?

Answer 1

Answer:

$\frac{60}{55}+\frac{60}{x}=2.75$

Step-by-step explanation:

We know that,

$Speed = \frac{Distance}{Time}$

$\implies Time = \frac{Distance}{Speed}$

On his way to the rink,

Distance = 60 miles,

Speed = 55 miles per hours,

Thus, the time taken by him = $\frac{60}{55}$ hours,

While, on his way to the home,

Distance = 60 miles,

Let x be the number of miles per hour he averages on his way home,

So, time taken by him = $\frac{60}{x}$ hours

Thus, the total time taken by him = $\frac{60}{55}+\frac{60}{x}$

According to the question,

Total time taken by him = 2.75 hours,

$\implies \frac{60}{55}+\frac{60}{x}=2.75$

Which is the required equation.

Answer 2

Answer:

60(55)•60x=2.75

Step-by-step explanation: