If a man runs at 6 kmph from his house, he misses the train at the st…

Question

If a man runs at 6 kmph from his house, he misses the train at the station by 8 min. If he runs at 10 kmph, he reaches 7 min before the departure of the train. What is the distance of the station from his house? (in Km).

Accepted Answer

Option D. 33/4 km. Answer & Solution Answer: Option D Solution: Let the distance of the station from the house of the person = x km & Difference\, of\, time & = 8 + 7 & = 15\, minutes & = 1/4\,hr & Since,\, & Time = Distance Speed & x/6 - x10 = 1/4 & 10x - 6x60 = 1/4 & 2x30 = 1/4 & x = 154 = 33/4km