'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.


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

  • $\begingroup$ 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

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.