SOLUTION: Ronald rode away from home in a car at at the rate of 32 miles per hour. he walked back at the rate of 4 miles per hour. the round trip required 2 1/4 hours. how far did ronald rid

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Question 275803: Ronald rode away from home in a car at at the rate of 32 miles per hour. he walked back at the rate of 4 miles per hour. the round trip required 2 1/4 hours. how far did ronald ride?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2 separate equation, 1 for driving
and 1 for walking
(1)
d%5B1%5D+=+r%5B1%5D%2At%5B1%5D
and
(2)
d%5B2%5D+=+r%5B2%5D%2At%5B2%5D
----------------
given:
d%5B1%5D+=+d%5B2%5D call it d
r%5B1%5D+=+32 mi/hr
r%5B2%5D+=+4 mi/hr
t%5B1%5D+%2B+t%5B2%5D+=+2.25 hr
-------------------
(1) d+=+32t%5B1%5D
(2) d+=+4%2A%282.25+-+t%5B1%5D%29
(2) d+=+9+-+4t%5B1%5D
Set (1) and (2) equal to each other
32t%5B1%5D+=+9+-+4t%5B1%5D
36t%5B1%5D+=+9
t%5B1%5D+=+1%2F4hr
and, from (1),
d+=+32t%5B1%5D
d+=+32%2A%281%2F4%29
d+=+8 mi
Ronald rode 8 miles
check answer:
(2) d+=+4%2A%282.25+-+t%5B1%5D%29
8+=+4%2A%282.25+-+.25%29
8+=+4%2A2
8+=+8
OK