Question

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles 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 (mi) Rate (mi/hr) Time (hr) Trip to Work n 35 mph Trip Home n 45 mph

Answer 1

b

second option

Answer 2

45 = n / ( 2.5 - n/35).

Explanation:

Going to work:

35 = n/t

Coming home:

45 = n/t2

t + t2 = 2.5

t2 = 2.5 - t

Plug this into the second equation:

45 = n / (2.5 - t)

Now t = n/35 so

45 = n / ( 2.5 - n/35).

We can find the distance n from this equation.