# I walked at 4 km/hr and missed the bus by 3 mins. However, if I walk at 5 km/hr, I reach the bus stand 3 mins early. How far is the bus stand from my home?

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by warekomal

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by warekomal

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4 km/hr = 4*1000/60 = 200/3 m/min

5 km/hr = 250/3 m/min

t = x/(200/3) - 3

t = x/(250/3) + 3

x/(200/3) - 3 = x/(250/3) + 3

x = 2000m

time = 2000/(200/3) - 3 = 27min.

speed = 2000/27 m/min

Case (i)

Speed = 4 km/hr

Reached time is 3 minutes delay to the original time (T)

Distance = speed * time

......(1)

Case (ii)

Speed = 5 km/hr

Reached time 3 minutes before the scheduled time (T)

Distance = speed * time

......(2)

Solving two equations,

Substitute the value of T in any one of the equations

The bus stand is 2.5 km from home