SOLUTION: Lysa left camp on her bicycle at noon and rode at an average rate of 10 miles per hour. Morton left camp in his van at 1:30 P.M. and overtook Lysa in 30 minutes. At what average ra

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Lysa left camp on her bicycle at noon and rode at an average rate of 10 miles per hour. Morton left camp in his van at 1:30 P.M. and overtook Lysa in 30 minutes. At what average ra      Log On

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Question 793578: Lysa left camp on her bicycle at noon and rode at an average rate of 10 miles per hour. Morton left camp in his van at 1:30 P.M. and overtook Lysa in 30 minutes. At what average rate was he traveling in the van?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Lysa's head start is
+d%5B1%5D+=+10%2A1.5+
+d%5B1%5D+=+15+
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Start a stop watch when Morton leaves
+.5+ = time in hrs on stopwatch when
he catches Lysa
Let +d+ = distance Morton travels in time +t+
Let +r+ = Morton's rate in mi/hr
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Morton's equation:
(1) +d+=+r%2A%28.5%29+
Lysa's equation:
(2) +d+-+15+=+10%2A%28.5%29+
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(2) +d+=+5+%2B+15+
(2) +d+=+20+
and
(1) +20+=+.5r+
(1) +r+=+20%2F.5+
(1) +r+=+40+
His rate was 40 mi/hr