**First look at the watch**

$x = 25 + \dfrac{y}{12}$
$x - \frac{1}{12}y = 25$ ← Equation (1)

**Second look at the watch**

$y = 15 + \dfrac{x}{12}$
$-\frac{1}{12}x + y = 15$ ← Equation (2)

**From Equations (1) and (2)**

$x = 26.43$

$y = 17.20$

Time in the 2^{nd} case = 5:17.20 ← *answer*