SOLUTION: A businessman drives from Washington D.C. to Boston, a distance of 442 miles, and then makes the return trip. On the way to Boston, he is driving 65 miles per hour, taking a 1

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A businessman drives from Washington D.C. to Boston, a distance of 442 miles, and then makes the return trip. On the way to Boston, he is driving 65 miles per hour, taking a 1       Log On

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Question 959217: A businessman drives from Washington D.C. to Boston, a distance of 442 miles, and then makes the return trip. On the way to Boston, he is driving 65 miles per hour, taking a 1 hour rest stop during the drive. After finishing his business in Boston, he makes the return trip driving at 45 miles per hour and takes a 45 minute rest stop halfway through the trip. Which leg of the journey, Washington D.C., to Boston or Boston to Washington D.C., takes the longest time?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t%5B1%5D+ = his time spent driving to Boston in mi/hr
+442+=+65t%5B1%5D+
+t%5B1%5D+=+6.8+ hrs
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Let +t%5B2%5D+ = his time spent driving to D.C. in mi/hr
+442+=+45t%5B2%5D+
+t%5B2%5D+=+9.822+ hrs
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Total time to Boston is:
+1+%2B+6.8+=+7.8+ hrs
Total time to D.C. is:
+.75+%2B+9.822+=+10.572+ hrs
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Boston to D.C. took longer by
+10.572+-+7.8+=+2.772+ hrs