Hi,

speed x to town, 240km from home 

if his speed is increased by 10km/h then he will take 48 minutes(.8hr) less

 t = D/r

  |Multiplying thru by 10x(x+10) so as all denominators = 1

 2400(x+10) - 8x(x+10) = 2400x

 2400x + 24000 - 8x^2 - 80x = 2400x

    -8x^2 - 80x + 24000 = 0

     x^2 + 10x - 3000 = 0

factoring

   (x + 60)(x-50)= 0,   x = 50mph   (throwing out negative solution for unit measure)

and ...

  

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