Question

Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived

Answer 1

Step-by-step explanation:

Distance = (Rate)(Time) So, Time = (Distance)/(Rate)

Time at slower speed = Time at faster speed + 3

36/x = 36/(x+6) + 3

Multiply the equation by the LCD, x(x+6) to obtain:

36(x+6) = 36x + 3x(x+6)

36x + 216 = 36x + 3x2 + 18x

3x2 + 18x - 216 = 0

x2 + 6x - 72 = 0

(x + 12)(x - 6) = 0

x = -12 or x = 6

Since x can't be negative, x = 6 mph