SOLUTION: a. Jodie and Pedro are going to race each. Jodie can run 5yds , whereas Pedro can run 6 yds per second. Because she slower, Jodie also gets a head start of 13 yds. How far will Ped

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a. Jodie and Pedro are going to race each. Jodie can run 5yds , whereas Pedro can run 6 yds per second. Because she slower, Jodie also gets a head start of 13 yds. How far will Ped      Log On


   

Question 719813: a. Jodie and Pedro are going to race each. Jodie can run 5yds , whereas Pedro can run 6 yds per second. Because she slower, Jodie also gets a head start of 13 yds. How far will Pedro have to run before he catches up to Jodie? How long will it take Pedro to catch up to Jodie?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance in yds that Pedro has to run
in order to catch up with Jodie
+d+-+13+ = the distance in yds that Jodie will run
until Pedro catches her
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Start a stopwatch when Pedro leaves.
Stop the stopwatch when Pedro catches her
Let +t+ = the time on the stopwatch in seconds
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Jodie's equation:
(1) +d+-+13+=+5t+
Pedro's Equation:
(2) +d+=+6t+
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By substitution:
(1) +6t+-+13+=+5t+
(1) +t+=+13+
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(2) +d+=+6t+
(2) +d+=+6%2A13+
(2) +d+=+78+
and, also
(1) +d+-+13+=+5t+
(1) +d+-+13+=+5%2A13+
(1) +d+=+13+%2B+65+
(1) +d+=+78+
OK
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Pedro has to run 78 yds to catch Jodie
It will take him 13 sec to catch her