While covering a distance of 30 km.Ajeet takes 2 hours more than Amit. If Ajeet doubles his speed, he would take 1 hour less than Amit. Find their speeds of walking.

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Solution

Let Ajeet speed be x and Amit speed be y.

They both covered 30 Km and Ajeet takes 2 hrs more than Amit.

Time = $fraction numerator d i s tan c e over denominator s p e e d end fraction$

So,
time taken by Ajeet will be =
time taken by Amit will be =

Ajeet takes 2 hrs more than Amit, then

= + 2 ------(i)

If Ajeet doubles his speed, Ajeet takes 1 hr less than Amit, so,
$fraction numerator 30 over denominator 2 x end fraction$ =- 1 ------(ii)

From (i) and (ii)
- $fraction numerator 30 over denominator 2 x end fraction$ =3

$fraction numerator 30 over denominator 2 x end fraction$ =3

= 5 Km/hr

y =7.5 Km/hr

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