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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