Answer :
let x = original speed
x + 5 = increased speed
travel time=distance/speed
150 / x - 150 / x+ 5 = 1
common denominator :x(x+5)
150(x+5)-150x=x(x+5)
150x+750-150x=x^2+5x
x^2+5x-750=0
(x-25)(x+30)=0
x=25
x + 5 = increased speed
travel time=distance/speed
150 / x - 150 / x+ 5 = 1
common denominator :x(x+5)
150(x+5)-150x=x(x+5)
150x+750-150x=x^2+5x
x^2+5x-750=0
(x-25)(x+30)=0
x=25