SOLUTION: You have 20-mile commute into work. Since you leave early, the trip going to work is easier than the trip home. You can travel to work in the same time that it takes for you to mak

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Question 468422: You have 20-mile commute into work. Since you leave early, the trip going to work is easier than the trip home. You can travel to work in the same time that it takes for you to make it 16 miles on the trip back home. Your average speed coming home is 7 miles per hour slower than your average speed going to work. What is your average speed going to work?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = the time it takes to get to work
given:
Average speed to work = +20%2Ft+
Coming home, the average speed is +16%2Ft+
+20%2Ft+-+7+=+16%2Ft+
Multiply both sides by +t+
+20+-+7t+=+16+
+7t+=+20+-+16+
+7t+=+4+
+t+=+4%2F7+
The average speed to work is:
+20+%2F+%284%2F7%29+=+20%2A%287%2F4%29+
+140%2F4+=+35+ mi/hr