SOLUTION: A motorcycle travelling at 16 mph faster than a car overtakes the car. If the car has been travelling for 5 hours and the motorcycle has been traveling for 3 hours, how far from th

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Question 503194: A motorcycle travelling at 16 mph faster than a car overtakes the car. If the car has been travelling for 5 hours and the motorcycle has been traveling for 3 hours, how far from the starting point are these two vehicles?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The problem assumes they started
from the same point, so their distances
should be the same when they meet
Write an equation for each
For motorcycle:
(1) +d+=+%28+r+%2B+16+%29%2At%5B1%5D+
For car:
(2) +d+=+r%2At%5B2%5D+
+t%5B1%5D+=+3+
+t%5B2%5D+=+5+
-------------
(1) +d+=+%28+r+%2B+16+%29%2A3+
(2) +d+=+r%2A5+
+3r+%2B+48+=+5r+
+2r+=+48+
+r+=+24+
since
(1) +d+=+%28+r+%2B+16+%29%2A3+
(1) +d+=+%28+24+%2B+16+%29%2A3+
(1) +d+=+120+ mi
They are 120 mi from the starting point