Greek Anthology Book XIV: Metrodorus: 139

Arithmetical Epigram of Metrodorus

 * Diodorus, great glory of dial-makers, tell me the hour since when the golden wheels of the sun leapt up from the east to the pole.


 * Four times three-fifths of the distance he has traversed remain until he sinks to the western sea.

Solution
Let $t$ be the time since dawn.

It is assumed that the day is $12$ hours long.

We have:

So $3 \frac 9 {17}$ hours have passed since dawn.

That leaves $12 - 3 \frac 9 {17} = 8 \frac 8 {17}$ hours remaining till sunset.