Q. 305.0( 3 Votes )

The time taken by

Answer :

Let us assume the speed of person while going = x km/hr

Also, speed of a person while returning = (x + 10) km/hr


It is given in the question that,


Total distance covered by person = 150 km



We know that,




x (x + 10) = 600


x2 + 10x – 600 = 0


x2 + 30x – 20x – 600 = 0


(x + 30) (x – 20) = 0


x + 30 = 0 or x – 20 = 0


x = - 30 or x = 20


As the speed of covering the distance cannot be negative therefore, x = 20 km/hr


Hence, speed while going = x = 20 km/hr


And, speed while returning = (x + 10)


= 20 + 10 = 30 km/hr

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