Correct Answer - Option 1 : 5 km
Given ∶
Messi misses his flight by 8 minutes when he was walking at the speed of 4 km/hr from his home.
If he walked 1 km/hr faster he would have reached the station 7 minutes earlier before the actual departure time
Formula Used ∶
Time = Distance/Speed
Calculation∶
Let the distance between his home and the airport be 'd' km
His speed when he was 8 minutes late = 4 km/hr
So, Time required to reach the airport = d/4 hours
When he increases his speed by 1 km/hr
Then, his speed when he reach 7 minutes early = (4 + 1) = 5 km/hr
So, Time required to reach the airport = d/5 hours
Now, The difference between these times = (8 min late - 7 min early) = 8 - (-7) = 15 min. = 15/60hrs
∴ (d/4) - (d/5) = 15/60
⇒ d/20 = 15/60
⇒ d = 5
∴ The distance between his home and the airport is 5 km.