Answer
It is 10 times that of the Earth.
Work Step by Step
We can compare the escape speed of the planet with that of the Earth as follows:
$\frac{v_{esc,planet}}{v_{ecs, Earth}}=\frac{\sqrt{2GM_p/R_p}}{\sqrt{2GM_E/R_E}}$
$\frac{v_{esc,planet}}{v_{ecs, Earth}}=\sqrt{\frac{M_p R_E}{M_E R_p}}=\sqrt{\frac{(10M_E)R_E}{M_E(\frac{1}{4}R_E)}}=\sqrt{100}=10$
$v_{esc,p}=10v_{esc, Earth}$
