SOLUTION: This question deals with intercepts. You are kayaking along a 24-mile stretch of river. You travel 6 miles per hour when paddling and 2 miles per hour when drifting. Write and g

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: This question deals with intercepts. You are kayaking along a 24-mile stretch of river. You travel 6 miles per hour when paddling and 2 miles per hour when drifting. Write and g      Log On


   

Question 820544: This question deals with intercepts.
You are kayaking along a 24-mile stretch of river. You travel 6 miles per hour when paddling and 2 miles per hour when drifting. Write and graph an equation describing your possible paddling and drifting times. Give three possible combinations of paddling and drifting times.
I don't need a graph, I just need help on how to make the equation and solving it. Thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t%5B1%5D+ = time spent paddling
Let +t%5B2%5D+ = time spent drifting
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+24+=+6t%5B1%5D+%2B+2t%5B2%5D+
+3t%5B1%5D+%2B+t%5B2%5D+=+12+
+t%5B1%5D+=+%28-1%2F3%29%2At%5B2%5D+%2B+4+
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If +t%5B2%5D+=+6+,
+t%5B1%5D+=+%28-1%2F3%29%2A6+%2B+4+
+t%5B1%5D+=+-2+%2B+4+
+t%5B1%5D+=+2+