SOLUTION: two cars from valencia travel in opposite direction.one towards cagayan de oro city and the other towards davao city.if one travels 10 kph faster than the other and they are 212.5

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Question 481421: two cars from valencia travel in opposite direction.one towards cagayan de oro city and the other towards davao city.if one travels 10 kph faster than the other and they are 212.5 km after one hour and 15 minutes,what are their rates?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let r = the rate of the slower one in km/hr
+r+%2B+10+ will be the rate of the faster one in km/hr
They are moving apart at the sum of the 2 rates
The sum of the rates is +r+%2B+r+%2B+10+=+2r+%2B+10+
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+212.5+=+%282r+%2B+10%29%2A1.25+
+212.5+=+2.5r+%2B+12.5+
+2.5r+=+212.5+-+12.5+
+2.5r+=+200+
+r+=+80+
+r+%2B+10+=+90+
Their rates are 80 km/hr and 90 km/hr