SOLUTION: if it takes 36 min. by car and 20 min. by train and the train is traveling 32 miles hour faster than the car how far are you going

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Question 243050: if it takes 36 min. by car and 20 min. by train and the train is traveling 32 miles hour faster than the car how far are you going
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
distance/speed = time
x=distance
y=speed of car
z=speed of train
%28x%2Fy%29=+%283%2F5%29 hours
%28x%2Fz%29=+%281%2F3%29 hours
%28x%2Fy%2B32%29+=+%28x%2Fz%29+=+%281%2F3%29
%28x%2Fy%29+=+%283%2F5%29
x%2F%28y%2B32%29+=+%281%2F3%29
x+=+%283y%29%2F5
x+=++%28y%2B32%29%2F3
%283y%29%2F5+=+%28y%2B32%29%2F3
9y+=+5y%2B160
4y=160
y=40mph
Speed times time = distance
40 times by (3/5) = 24 miles.