SOLUTION: Taylor took 6 hours to drive home from college for thanksgiving break, a total distance of 290 miles. She was able to average 50 miles per hour for part of the trip but had to slow

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Question 1042609: Taylor took 6 hours to drive home from college for thanksgiving break, a total distance of 290 miles. She was able to average 50 miles per hour for part of the trip but had to slow down to 45 miles per hour for the rest of the time due to poor weather. How many hours did she drive at each speed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs spent driving at 50 mi/hr
+6+-+t+ = time spent driving 45 mi/hr
--------------------
+290+=+50%2At+%2B+45%2A%28+6+-+t+%29+
+290+=+50t+%2B+270+-+45t+
+5t+=+20+
+t+=+4+
and
+6+-+t+=+6+-+4+
+6+-+t+=+2+
-----------------
She drove for 4 hrs at 50 mi/hr
She drove for 2 hrs at 45 mi/hr
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check:
+290+=+50%2At+%2B+45%2A%28+6+-+t+%29+
+290+=+50%2A4+%2B+45%2A2+
+290+=+200+%2B+90+
+290+=+290+
OK