If a person walks at a speed of 5 km/h, he misses the train by 7 minutes. If he walks at a speed of 6 km/h, he reaches the station 5 minutes early. Find the distance to the station.
Show answer & explanation
Correct answer: D
Explanation
Difference in time between the two situations -
= 7 + 5 = 12 minutes
= 12/60 = 1/5 hour
Distance to the station = x km
x/5 − x/6 = 1/5
(6x − 5x)/30 = 1/5
x/30 = 1/5
x = 6 km