SOLUTION: Salem and Vernonville are 128 miles apart. A car leaves Salem traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Salem. The car l

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Question 771783: Salem and Vernonville are 128 miles apart. A car leaves Salem traveling towards Vernonville, and another car leaves Vernonville at the same time, traveling towards Salem. The car leaving Salem averages 10 mph more than the other, and they meet after 1 hour and 36 minutes. What are the average speeds of the cars?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one car standing
still and the other moving at the sum of their speeds
Let +s+ = the speed of the slower car
+s+%2B+10+ = the speed of the faster car
-----------------------------------
Convert +36+ min to hours
+36%2F60+=+6%2F10+
+128+=+%28+s+%2B+s+%2B+10+%29%2A1.6+
+128+=+%28+2s+%2B+10+%29%2A1.6+
+3.2s+=+128+-+16+
+3.2s+=+112+
+s+=+35+
+s+%2B+10+=+45+
Their speeds are 35 mi/hr and 45 mi/hr