A lady drives 180km from her wine farm to Ceres. On her return (at night) she

Question

drove 30km/h slower. Her return takes one hour longer. At what speed did she
drive home?

Answer 1

daytime rate ---- x km/h
nighttime rate --- x-30 km/h

180/(x-30) - 180/x = 1 , saying the difference in their times is 1 hour

multiply each term by x(x-30)
180x - 180(x-30) = x(x-30)
x^2 -30x - 5400 = 0
solve for x, comes out nice, actually the quadratic factors.

Answer 2

Thanks so much for the solution