Question

A man walks from his house to the Railway station to catch a train, which is running as per schedule. If he walks at 6 km/hr, he misses the train by 9 minutes. However, if he walks at 7 km/hr, he reaches the station 6 minutes before the departure of rain. The distance of his home to the Railway Station is:

Options

• 2 km

• 10.5 km

• 1.05 km

• 1.25 km

Answer 1

10.5 km

Explanation:

Let the distance from home to station = D
When speed is 6, time =`"D"/6`

When speed is 7, time =`"D"/7`

According to the question,

`"D"/6-"D"/7=15` min or `15/60`

`"D"/42=15/60=1/4`

D =`42/4`= 10.5 km