A student travelled from his residence to his college at the rate of 25 km/hr and returned to his residence at the rate of 4 km/hr. To and fro journey of the student took 5 hours and 48 minutes. Find the distance of his college from his residence.
A20 km ✓ Correct
B25 km
C30 km
D25.5 km
Correct answer: (A) 20 km
Explanation
The college is 20 km from the residence.
Total time 5 h 48 min = 29/5 hours for the round trip.
With distance d : d/25 + d/4 = 29/5.
LCM gives (4d + 25d)/100 = 29/5, so 29d/100 = 29/5.
Hence d = 100/5 = 20 km.
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