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Each week Rosario drive to an ice-skating rink that is 60 miles away. The road trip takes 2.75 hours. If he averages 55 mph 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 :

isaac02
60(55)•60x=2.75 there's your answer

Answer: The number of miles per hour he averages on his way home is 36 mph.

Step-by-step explanation:

Since we have given that

Distance traveled by Rosario = 60 miles

Time taken for road trip = 2.75 hours

Speed at which he on his way to the rink = 55 mph

Let X be the speed at which he averages on his way home.

So, According to question, we get that,

[tex]\dfrac{60}{55}+\dfrac{60}{x}=2.75\\\\1.09+\dfrac{60}{x}=2.75\\\\\dfrac{60}{x}=2.75-1.09\\\\\dfrac{60}{x}=1.659\\\\x=\dfrac{60}{1.659}\\\\x=36.16\\\\x=36\ mph[/tex]

Hence, the number of miles per hour he averages on his way home is 36 mph.

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