Q:

Converting word problems with speed into algebra

'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.

A:

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

