On the trip from Detroit to Columbus, Ohio, Mrs. Smith drove an average speed of 60 mph. Returning, her average speed was 55 mph. If it took her 1 3 of an hour longer on the return trip, how far is it from Detroit to Columbus?
Let D = distance between Detroit and Columbus From Detroit to Columbus, D = 60T1 where T1 = time it took Mrs Smith to drive from Detroit to Columbia From Columbia to Detroit D = 55T2 where T2 = time it took Mrs Smith to drive from Columbia to Detroit Equating the 2 formulas for "D", 60T1 = 55T2 and since T2 = T1 + 0.33 60T1 = 55(T1 + 0.33) Solve for T1 and substitute this calculated value in the equation D = 60T1 to determine the distance between Detroit and Columbus. 5T1=18.15 T1= 18.15/5=3.63 then D = 60T1=60*(3.63)=217.8 m
