SOLUTION: Lewis and Vernon are 152 miles apart. A car leaves Lewis headed toward Vernon, and another car leaves Vernon at the same time headed towards Lewis, the car leaving Lewis averages 1

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Question 547974: Lewis and Vernon are 152 miles apart. A car leaves Lewis headed toward Vernon, and another car leaves Vernon at the same time headed towards Lewis, the car leaving Lewis averages 10mph more than the other and they meet after 1hr and 36 min. what are the average speeds of the cars?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = speed of car leaving Vernon
+s+%2B+10+ = speed of car leaving Lewis
You can add their speeds to get speed of approach
+36%2F60+=+.6+ hrs
1 hr 36 min = +1.6+ hrs
+152+=+%28+s+%2B+s+%2B+10+%29%2A1.6+
+152+=+%28+2s+%2B+10+%29%2A+1.6+
+152+=+3.2s+%2B+16+
+3.2s+=+152+-+16+
+3.2s+=+136+
+s+=+42.5+
+s+%2B+10+=+52.5+
The speed of car leaving Vernon is 42.5 mi/hr
The speed of car leaving Lewis is 52.5 mi/hr