Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2 point 7 5 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
A
open paren 60 over 55 close paren times open paren 60 over x close paren is equal to 2 point 7 5
B
60 times 55 plus 60 x is equal to 2 point 7 5
C
open bracket 60 times 55 close bracket times 60 x is equal to 2 point 7 5
D
60 over 55 plus 60 over x is equal to 2 point 7 5
Explanation
Use time = distance ÷ speed for each part of the trip. The trip to the rink takes 60/55 hours, and the trip home takes 60/x hours. Since their combined time is 2.75 hours, the equation is 60/55 + 60/x = 2.75, which is choice D.
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