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Messi misses his flight by 8 minutes when he was walking at the speed of 4 km/hr from his home. Had he walked 1 km/hr faster, he would have reached the station 7 minutes earlier before the actual departure time of the flight. Calculate the distance between his home and the airport?
1. 5 km
2. 7 km
3. 6 km
4. 4 km

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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.

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