SOLUTION: Marge left her home in Springfield at 9:00 A.M. and drove to Shelbyville, arriving at 10:45 A.M. She went shopping at the Shelbyville Galleria and had lunch at Krusty Burger in th

Algebra ->  Finance -> SOLUTION: Marge left her home in Springfield at 9:00 A.M. and drove to Shelbyville, arriving at 10:45 A.M. She went shopping at the Shelbyville Galleria and had lunch at Krusty Burger in th      Log On


   



Question 1054600: Marge left her home in Springfield at 9:00 A.M. and drove to Shelbyville, arriving at 10:45 A.M.
She went shopping at the Shelbyville Galleria and had lunch at Krusty Burger in the food court. She
left to return home at 2:15 P.M. Because it had started raining, she drove 10 mph slower than she
did that morning. Marge got home at 4:15 P.M. What is the distance between the two cities?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Her driving time to Shelbyville was
10:45 minus 9:00 = +1.75+ hrs
( I converted 45 min to +.75+ hrs )
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Her driving time back to Springfield was
4:15 minus 2:15 = +2+ hrs
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Let +s+ = her speed in mi/hr
driving to Shelbyville
+s+-+10+ = her speed driving back
to Springfield in mi/hr
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Let +d+ = the distance between
the two cities in miles
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Equation for drive to Shelbyville:
(1) +d+=+s%2A1.75+
Equation for drive back to Springfield:
(2) +d+=+%28+s+-+10+%29%2A2+
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Substitute (1) into (2)
(2) +1.75s+=+2%2A%28+s+-+10+%29+
(2) +1.75s+=+2s+-+20+
(2) +.25s+=+20+
(2) +s+=+80+
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(1) +d+=+1.75s+
(1) +d+=+1.75%2A80+
(1) +d+=+140+
the distance between the 2 cities is 140 mi
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check answer:
(2) +d+=+%28+s+-+10+%29%2A2+
(2) +d+=+%28+80+-+10+%29%2A2+
(2) +d+=+2%2A70+
(2) +d+=+140+
OK