Question

If Sahil had walked 1 km/hr faster, he would have taken 15 minutes less to walk 3 km. Find the
original speed at which he was walking.

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Answer 1

Answer:

Original speed of sahil = 3

EXPLAINATION

Let the original speed be x

T = D/S

T = 3/x

If the speed is increased by 1km/hr

T=D/S

T=3/x+1

Acc. To ques.

T1 - T2 = 15 /60

3/x - 3/x+1 = 1/4

3(1/x-1/x+1) = 1/4

3(x+1-x/x(x+1)=1/4

3*4 = x2 + x

12 = x2 + x

x2 + x - 12 =0

x2 + 4x - 3x - 12 =0

x(x+4) - 3(x+4) =0

(x-3)(x+4) =0

x=3,-4

Since speed can never be negative

Hence x= 3

Answer 2

Hope it's helpful for you!