Algebra
posted by Mike on .
Tom drove to Easton from home at 50 mph. His return trip took 30 minutes longer because he ran into traffic and could only drive 45mph. How many miles is it from Tom's home to Easton? Express answer as a decimal.

D = RT (Distance = Rate x Time)
50 = rate going
T = time going
50T = distance going
45 = rate returning
T + .5 = time returning (30/60 = .5h)
45(T + .5) = distance returning
Distances are equal
50T = 45(T + .5)
50T = 45T + 22.5
5T = 22.5
T = 4.5 h
50T = distance going
50(4.5) = 225 miles
Answer as a decimal?