Lily takes a train each day to work that averages 35miles per hour. on her way home, her train ride follows the same path and averages 45miles per hour. if the total trip takes 2.5 hours, which equation can be used to find n, the number of miles lilly’s home is from her work?

 distance        distance

+ = 2.5 hrs

35 mph          45 mph

The distance is 49.22 miles.

Step-by-step explanation:

The time spent on the outward trip PLUS the time spent on the return trip add up to 2.5 hrs.  Thus,

 distance        distance

+ = 2.5 hrs

35 mph          45 mph

Then 45d + 35d = 2.5(35)(45) = 3937.5.  Adding 45d and 35d, we get 80d.  Dividing 3937.5 by 80 results in 49.22 (miles).

The home to work distance is 49.22 miles.