Question

Karan goes to school at the rate of 4 km /h and reach 5 minutes late if she goes at the speed of 6 km /hour series 10 minutes earlier what is the distance of the school from her home.

Answer 1

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As speed = DIST / TIME

Let x be the time of her school so by equation

4kmph = DIST / (x+5)

I.e 4(x+5) = d …….(1)

As she was late 5 mins hence x+5

For 2nd case

6 KMPH= DIST / (x-10)

I.e 6(x-10)=d……(2)

As LHS are equal , hence

4(x+5)=6(x-10)

4x+20=6x-60

80=2x

X= 40 min

So for 4kmph it's x+5 i.e 45 min

Therefore , 4(45/60)= d

Which is 3 Km…!!