# Question #f67de

Dec 20, 2016

$t = 16 : 10$.

#### Explanation:

The train leaves every $\frac{5}{2}$ hours. Let the current time be $t$. Note that $40$ minutes is $\frac{2}{3}$ of an hour.

$40$ minutes ago, the train left. So we know at $t - \frac{2}{3}$, the train left.

We also know that in two and a half hours, it'll be $18 : 00$ and the next train will leave.

So $\left(t - \frac{2}{3}\right) + \frac{5}{2} = 18$.

Solve to get $t = 16 \frac{1}{6}$ hours, or $t = 16 : 10$.