SOLUTION: Jim traveled 240 miles east averaging a speed of 60 miles per hour but at one time he slowed down to 20 miles per hours. If the total time traveled was 8 hours, how many miles were

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Question 724724: Jim traveled 240 miles east averaging a speed of 60 miles per hour but at one time he slowed down to 20 miles per hours. If the total time traveled was 8 hours, how many miles were traveled at reduced speeds?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs spent going 60 mi/hr
Let +8+-+t+ = time in hrs spent going 20 mi/hr
Let +d+ = distance traveled at 60 mi/hr
----------------
(1) +d+=+60t+
(2) +240+-+d+=+20%2A%28+8+-+t+%29+
-------------------------
(2) +240+-+d+=+160+-+20t+
Multiply both sides by +-1+
(2) +d+-+240+=+20t+-+160+
Substitute (1) into (2)
(2) +60t+-+240+=+20t+-+160+
(2) +40t+=+80+
(2) +t+=+2+
and
+d+=+60%2A2+
+d+=+120+
+240+-+120+=+120+
120 mi was traveled at an average of 20 mi/hr
check:
(2) +240+-+d+=+20%2A%28+8+-+t+%29+
(2) +240+-+120+=+20%2A%28+8+-+2+%29+
(2) +120+=+20%2A6+
(2) +120+=+120+
OK