# Clock Puzzle problem

Today I came across this puzzle:

How many minutes is it until six o'clock if fifty minutes ago it was four times as many minutes past three o'clock?

Any help?

• This question seems a bit too specific... May 22, 2014 at 16:34

Right now, we have $x$ minutes left until 6 o'clock. 50 minutes ago, it was $4x$ minutes past 3 o'clock. That means that the time between 3 o'clock and 6 o'clock, 180 minutes, is equal to the sum of those times. In other words
\begin{align} 4x + 50 + x & = 180 \\ x & = \frac{180 - 50}{5} \\ x & = 26 \end{align}