SOLUTION: hana walked from her home to a bicycle repair shop at a rate of 3.5mph and then rode her bicycle home at a rate of 14mph if the total time spent traveling was 1hour how far from ha

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Question 498675: hana walked from her home to a bicycle repair shop at a rate of 3.5mph and then rode her bicycle home at a rate of 14mph if the total time spent traveling was 1hour how far from hanas home is the repair shop
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = distance to repair shop
walking:
+d+=+3.5%2At+
With bicycle:
+d+=+14%2A%281+-+t%29+
+3.5t+=+14%2A%281+-+t%29+
+3.5t+=+14+-+14t+
+17.5t+=+14+
+t+=+.8+
and, since
+d+=+3%2C5t+
+d+=+3.5%2A.8+
+d=+2.8+
The distance to the repair shop is 2.8 mi
check:
+d+=+14%2A%281+-+t%29+
+d+=+14%2A%281+-+.8%29+
+d+=+14%2A.2+
+d+=+2.8+ mi
OK