Question

Working together, two people can mow the lawn in 24 minutes. Working alone, one person takes 20 minutes longer than the other. How many minutes would it take each person to mow the lawn alone?

Thanks!!!

Answer 1

1/24 = 1/x + 1/(x+20)
x = 40

Answer 2

1st person: X min.
2nd person: (X+20) min.

X*(X+20)/(X+X+20) = 24 min.
(X^2+20X)/(2X+20) = 24
X^2+20X = 48X+480
X^2-28X-480 = 0
Use Quadratic formula and get:
X = 40 min.
X+20 = 60 min.

Answer 3

60