Sign in
Please select an account to continue using cracku.in
↓ →
If a man runs at 6 kmph from his house, he misses the train at the station by 8 minutes. If he runs at 10 kmph, he reaches the station 7 minutes earlier than the departure of the train. What is the distance of station from his house? (in km)
Let the distance of the station from the house of the person = $$x$$ km
Difference of time = 8 + 7 = 15 minutes = $$\frac{1}{4}$$ hr
Since, Time = $$\frac{Distance}{Speed}$$
$$\therefore \frac{x}{6} - \frac{x}{10} = \frac{1}{4}$$
=> $$\frac{10x - 6x}{60} = \frac{1}{4}$$
=> $$\frac{2x}{30} = \frac{1}{4}$$
=> $$x = \frac{15}{4} = 3\frac{3}{4}$$ km
Create a FREE account and get:
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation