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'A rower travels upstream at $6$ km per hour and back to the starting place at $10$ km per hour. The total journey takes $48$ minutes. How far upstream did the rower go?'

I'm struggling turning the relationships between the data given and forming an algebraic expression. The answer given is $3$ km and I tried $6x + 10x = 48$ and then solving for $x$ to give $3$ .However I have the feeling that that isn't correct and just a fluke. could anyone explain this problem to me?

Thank you in advance.

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hint: $x$ is the distance sought, then $\dfrac{x}{6}+\dfrac{x}{10}=\dfrac{4}{5}$

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  • $\begingroup$ Okay I figured it out from your hint :) Hopefully I can get through the rest of the questions now without further hiccups. $\endgroup$ – Joshua Rowe Aug 15 '15 at 7:19
  • $\begingroup$ Good. Practice and Practice.... $\endgroup$ – DeepSea Aug 15 '15 at 7:55

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