You arrive at your school 5 minutes late if you walk with a speed of 4 km/hr, but you arrive 10 minutes before the scheduled time if you walk with a speed of 5 km/hr. The distance of your school from your house is :

You arrive at your school 5 minutes late if you walk with a speed of 4 km/hr, but you arrive 10 minutes before the scheduled time if you walk with a speed of 5 km/hr. The distance of your school from your house is :
[A]2 km
[B]4 km
[C]5 km
[D]10 km

5 km
If the required distance be x km, then
\frac{x}{4} - \frac{x}{5} = \frac{10+5}{60}
=> \frac{5x - 4x}{20} = \frac{1}{4}
=> \frac{x}{20} = \frac{1}{4}
=> x = \frac{1}{4}\times 20 = 5\ km
Hence option [C] is correct answer.

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