SOLUTION: Mida can bike 6 kph faster than Dory. At noon, each girl leaves their house, traveling towards the other. If the distance between their houses is 20 km and they meet in one-half ho

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Mida can bike 6 kph faster than Dory. At noon, each girl leaves their house, traveling towards the other. If the distance between their houses is 20 km and they meet in one-half ho      Log On

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Question 956012: Mida can bike 6 kph faster than Dory. At noon, each girl leaves their house, traveling towards the other. If the distance between their houses is 20 km and they meet in one-half hour, what is each girl’s rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one girl standing still
and the other one traveling at the sum
of their speeds
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Let +s+ = Dory's speed in km/hr
+20+=+%28+s+%2B+s+%2B+6+%29%2A.5+
+20+=+s+%2B+3+%7D%7D%7B%7D%0D%0A%7B%7B%7B+s+=+17+
+s+%2B+6+=+23+
Dory's speed is 17 km/hr
Mida's speed is 23 km/hr
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check:
+d%5B1%5D+=+17%2A.5+
+d%5B1%5D+=+8.5+ km
and
+d%5B2%5D+=+23%2A.5+
+d%5B2%5D+=+11.5+
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+d%5B1%5D+%2B+d%5B2%5D+=+8.5+%2B+11.5+
+d%5B1%5D+%2B+d%5B2%5D+=+20+ km
OK