A person walked from a village to a hospital at a speed of 30 km/h and walked back at a speed of 2 km/h. If the whole journey took 4 h 36 min, find the distance of the hospital from the village.

A

$$15\frac{1}{4}$$ km

B

$$17\frac{1}{4}$$ km

C

$$15\frac{3}{4}$$ km

D

$$17\frac{3}{4}$$ km