Question 459347

speed = x miles/h

360/x  - 1 = 360/(x+5)

=> 360/x - 360/x+5  = 1

=> 360 * 5 = x(x+5)

=> 1800 = x^2 + 5x 

=> x^2 + 5x- 1800 = 0

=> x^2 + 45x -40x - 1800 = 0 

=> x(x+45) -40(x +45) = 0

=> (x+45)(x-40) = 0


so, x = 40, (  x = -45  not possible) 

speed = 40 miles/h