SOLUTION: Jessie and her friends pack a tailgate picnic and, at exactly 1 p.m., set out for the football game, driving at 35mph. Half a hour after they leave the house, Jessie's mom notice t

Algebra ->  Linear-equations -> SOLUTION: Jessie and her friends pack a tailgate picnic and, at exactly 1 p.m., set out for the football game, driving at 35mph. Half a hour after they leave the house, Jessie's mom notice t      Log On


   

Question 958403: Jessie and her friends pack a tailgate picnic and, at exactly 1 p.m., set out for the football game, driving at 35mph. Half a hour after they leave the house, Jessie's mom notice their picnic basket, fully packet sitting on the driveway. She grabs the basket, jumps in her car, and drives at 40 mph, the legal limit. When will mom catch up to jessie?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What is Jessie & friends head start in miles?
+d%5B1%5D+=+35%2A%281%2F2%29+
+d%5B1%5D+=+17.5+ mi
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start a stopwatch when Mom leaves at 1:30
Let +t+ = time in hrs on stopwatch
when Mom catches Jessie
Let +d+ = distance Mom travels from
home until catches Jessie
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Jessie's equation:
+d+-+17.5+=+35t+
mom's equation:
+d+=+40t+
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By substitution:
+40t+-+17.5+=+35t+
+5t+=+17.5+
+t+=+3.5+ hrs
Mom left at 1:30 and took 3.5 hrs to
catch Jessie
1:30 + 3 hrs 30 min = 5:00 she catches them