SOLUTION: A village P is 12 km upriver from a village Q. It takes 3 hours 20 minutes to go from Q to P and back to Q by boat. If the boat travels at 6 km/hr upriver and (6 + x) km/hr down ri

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A village P is 12 km upriver from a village Q. It takes 3 hours 20 minutes to go from Q to P and back to Q by boat. If the boat travels at 6 km/hr upriver and (6 + x) km/hr down ri      Log On


   

Question 1137741: A village P is 12 km upriver from a village Q. It takes 3 hours 20 minutes to go from Q to P and back to Q by boat. If the boat travels at 6 km/hr upriver and (6 + x) km/hr down river, what is the value of x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+12%2F6+%2B+12%2F%28+6+%2B+x+%29+=+10%2F3+
+12%2A%28+1%2F6+%2B+1%2F%28+6+%2B+x+%29+%29+=+10%2F3+
+1%2F6+%2B+1%2F%28+6+%2B+x+%29+=+5%2F18+
Multiply both sides by +18%2A%28+6+%2B+x+%29+
+3%2A%28+6+%2B+x+%29+%2B+18+=+5%2A%28+6+%2B+x+%29+
+2%2A%28+x+%2B+6+%29+=+18+
+x+%2B+6+=+9+
+x+=+3+
--------------------
check:
+12%2F6+%2B+12%2F%28+6+%2B+3+%29+=+10%2F3+
+18%2F9+%2B+12%2F9+=+30%2F9+
+30%2F9+=+30%2F9+
OK