Since, a bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph.
Let the time taken in traveling from village to the railroad station be 't' hours
Distance is calculated by the formula:
So, the distance traveled from village to the railroad station is:
Since, the time taken in traveling from railroad station to the village is 1 hour more = 't+1' hours
So, the distance traveled from railroad station to the village is:
Therefore, distance traveled from village to railroad station is equals to the distance traveled from railroad station to the village.
So,
So, t=2
Therefore, distance from village to railroad station =
=
= 30 miles.
Therefore, the distance from village to railroad station is 30 miles.