Correct Answer - Option 3 : 65 miles
Calculation:
Let the distance from his home to his hostel be x miles.
Time taken from home to hostel = x/60 hours
Time taken on his return journey from hostel to home = (x/2)/25 + (x/2 + 5)/50
As given his return journey from hostel to home took 30 minutes more than the time he took to go from home to hostel.
⇒ x/60 + 0.5 = x/50 + (x/2 + 5)/50
By solving, x = 30
∴ Total distance travelled = 30 + 15 + 20 = 65 miles.