Answer :

Let their speed be 'x' km/h

We know, distance = speed × time

In two hours,

Distance travelled by both = '2x' km

Let their starting point be 'O', and Pranali and Prasad reach the point A in the East and point B in the north direction respectively.

Clearly, AOB is a right-angled triangle, So By Pythagoras theorem

(Hypotenuse)^{2} = (base)^{2} + (Perpendicular)^{2}

(AB)^{2} = (OA)^{2} + (OB)^{2}

As, AB = distance between them = 15√2 km

And OA = OB = distance travelled by each = 2x

⇒ (15√2)^{2} = (2x)^{2} + (2x)^{2}

⇒ 450 = 8x^{2}

⇒ x^{2} = 56.25

⇒ x = 7.5 km/h

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