SOLUTION: George went to Disneyland going 50MPH on the way there and 40MPH on the way back. It took George 7.2 hours roundtrip. How many miles did he go?

Algebra ->  Equations -> SOLUTION: George went to Disneyland going 50MPH on the way there and 40MPH on the way back. It took George 7.2 hours roundtrip. How many miles did he go?      Log On


   

Question 19477: George went to Disneyland going 50MPH on the way there and 40MPH on the way back. It took George 7.2 hours roundtrip. How many miles did he go?
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
let the distance be x


One way,
speed=50mph
distance=x miles
time=d/s=x/50 hours.....[1]


return trip,
speed=40mph
distance=x miles
time=d/s=x/40 hours.......[2]


Now we have been told that the total time taken is 7.2 hours
So add up equations [1] and [2],
%28x%2F50%29%2B%28x%2F40%29=7.2
%2840x%2B50x%29%2F%2840%2A50%29=7.2
%2890x%29%2F2000=7.2
90x=7.2%2A2000
90x=14400
x=160


therefore,he travelled 160 miles one-way


Hope this helps,
Prabhat