Q. 104.0( 20 Votes )

Pranali and Prasa

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 = 8x2

x2 = 56.25

x = 7.5 km/h

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