SOLUTION: If a boat goes downstream 78 miles in 3 1/4 hours and upstream 72 miles in 7 1/5 hours. Find the speed of the boat in still water and the speed of the current. Can you help me set

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: If a boat goes downstream 78 miles in 3 1/4 hours and upstream 72 miles in 7 1/5 hours. Find the speed of the boat in still water and the speed of the current. Can you help me set       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 881775: If a boat goes downstream 78 miles in 3 1/4 hours and upstream 72 miles in 7 1/5 hours. Find the speed of the boat in still water and the speed of the current. Can you help me set up a system of equation please? Thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the boat in still water
Let +c+ = the speed of the current
+s+%2B+c+ = the speed of the boat going downstream
+s+-+c+ = the speed of the boat going upstream
--------------------
Going downstream:
(1) +78+=+%28+s+%2B+c+%29%2A3.25+
Going upstream:
(2) +72+=+%28+s+-+c+%29%2A7.2+
-----------------------
This is 2 equations with
2 unknowns, so it's solvable