A person cycling at 30 kmph from the hostel reaches the college 5 minutes late. If he cycled at 36 kmph, he would reach 4 minutes early. Find the distance between the hostel and the college.
27 km
For the same distance d, the difference between the two travel times equals the total gap between being late and early.
Time difference = 5 + 4 = 9 minutes = 9/60 = 3/20 hour.
So d/30 - d/36 = 3/20, i.e., d(6 - 5)/180 = 3/20, which gives d/180 = 3/20.
d = 180 × 3/20 = 27 km.
Hence, 27 km.
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