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.

1
\(15 \frac{1}{4} \mathrm{~km}\)
2
\(8 \frac{5}{8} \mathrm{~km}\)
3
\(15 \frac{3}{4} \mathrm{~km}\)
4
\(17 \frac{3}{4} \mathrm{~km}\)

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