Question

The time taken by a person to cover 150 km is 2.5 hours more

Answer 1

let x=speed in going direction

x+10=return speed

travel time=distance/speed

..

150/2Fx-150/2F/28x/2B10/29=2.5

lcd:x(x+10)

150(x+10)-150x=2.5x(x+10)

150x+1500-150x=2.5x^2+25x

2.5x^2+25x-1500=0

x^2+10-600=0

(x+30)(x-20)=0

x=20

x+10=30

speed in going direction=20 km/hr

return speed=30 km/hr

Hope it helps....