SOLUTION: Joe gets from his house to a restaurant by canoeing two miles and then driving 1 mile. He canoes 50 MPH slower than he drives. A.) Write a rational function that represents his

Algebra ->  Rational-functions -> SOLUTION: Joe gets from his house to a restaurant by canoeing two miles and then driving 1 mile. He canoes 50 MPH slower than he drives. A.) Write a rational function that represents his      Log On


   

Question 677288: Joe gets from his house to a restaurant by canoeing two miles and then driving 1 mile. He canoes 50 MPH slower than he drives.
A.) Write a rational function that represents his time getting from home to the restaurant. Define your variables.
B.) If he can canoe at 3 MPH, how long will the trip take?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+%5B1%5D+ = time spent canoeing
Let +t%5B2%5D+ = time spent driving
Let +s+ = his speed driving
+t%5B1%5D+%2B+t%5B2%5D+=+2%2F%28+s+-+50+%29+%2B+1%2Fs+
(a)
+t+=+t%5B1%5D+%2B+t%5B2%5D+
+t%28s%29++=+2%2F%28+s-50+%29+%2B+1%2Fs+
------------------------
(b)
+s+-+50+=+3+
+s+=+53+
+t%28s%29++=+2%2F%28+53-50+%29+%2B+1%2F53+
+t%28s%29+=+2%2F3+%2B+1%2F53+
+t%28s%29+=+.6667+%2B+.01887+
+t%28s%29+=+.68557+
+.68557%2A60+=+41.134+
The trip will take 41.1 minutes