SOLUTION: two cars enter I-95 at the same time one from Savannah and the other from Jacksonville. The distance from savannah to jacksonville is 136 miles. the car from savannah is traveling

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Question 1069758: two cars enter I-95 at the same time one from Savannah and the other from Jacksonville. The distance from savannah to jacksonville is 136 miles. the car from savannah is traveling at 55 mph, the car from jacksonville is traveling at 70 mph. how long will it take for the two cars to pass each other? what distance will each car have traveled before passing each other?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d%5B1%5D+ = distance in miles the S to J car travels
Let +d%5B2%5D+ = distance in miles the J to S car travels
Let +t+ = time in hrs for cars to pass eachother
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(1) +d%5B1%5D+%2B+d%5B2%5D+=+136+ mi
(2) +d%5B1%5D+=+55t+ mi
(3) +d%5B2%5D+=+70t+ mi
-------------------------------
Substitute (2) and (3) into (1)
(1) +55t+%2B+70t+=+136+
(1) +125t+=+136+
(1) +t+=+1.088+ hrs
+.088%2A60+=+5.28+ min
It takes about 1 hr and 5 min for them to pass each other
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(1) +d%5B1%5D+=+55%2A1.088+
(1) +d%5B1%5D+=+59.84+ mi
and
(2) +d%5B2%5D+=+70%2A1.088+
(2) +d%5B2%5D+=+76.16+ mi
59.84 = distance in miles the S to J car travels
76.16 = distance in miles the J to S car travels
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check:
+d%5B1%5D+%2B+d%5B2%5D+=+136+
+59.84+%2B+76.16+=+136+
+136+=+136+
OK