SOLUTION: I'm tutoring a kid but I am stuck on this problem... I've tried several things, but keep getting either -32/3 or -8/3 or -16/3... frustrating! Here it is set up (I had these al

Question 797793: I'm tutoring a kid but I am stuck on this problem... I've tried several things, but keep getting either -32/3 or -8/3 or -16/3... frustrating!
Here it is set up (I had these all spread out in a box format, but it squishes them together)
rate * time = distance
first 1/3 of trip x \\ 1.5 \\ 1.5x
second 2/3 of trip (16 - 1.5x)/4.5 \\ 4.5 \\ 16 - 1.5x
========================================
total {16/6} \\ 6 \\ 16
Here's my problem.... if the trip is 6 hours, then it's not 1/3 and 2/3, but 1/4 and 3/4....
I took 1/3(1.5x) + 2/3(16 - 1.5x) = 16 and got -32/3
I took 1/3x + 2/3(16-1.5x)/4.5 = 16/6 and got 8/3
then, I took 1/4(1.5x) + 3/4(16 - 1.5x) = -16/3
Any suggestions for me?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
first 1/3 of trip x \\ 1.5 \\ 1.5x
second 2/3 of trip (16 - 1.5x)/4.5 \\ 4.5 \\ 16 - 1.5x
========================================
total {16/6} \\ 6 \\ 16
--------------
I don't know that that means.
What is the original problem?

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