Answer
Both P-values are very small, so we can reject the null hypothesis in both tests.
There is enough evidence to conclude that both explanatory variables, depth and conditions, have a linear relation with time.
Work Step by Step
1) $H_0: β_1=0$ versus $H_1: β_1\ne0$
$t_0=3.86$ with a P-value $=0.001$. Reject the null hypothesis.
2) $H_0: β_2=0$ versus $H_1: β_2\ne0$
$t_0=-6.36$ with a P-value $\lt0.001$. Reject the null hypothesis.