Problema Solution
Working together, two people can cut a large lawn in 3 hours. One person can do the job alone in 1 hour less than the other. How long would it take the faster person to do the job?
Answer provided by our tutors
Let x = the time the faster person need to do the job.
The time the slower person need is x + 1.
1/x+1/(x+1)=1/3
Multiply both sides by 3x(x+1):
3(x+1)+3x=x(x+1)
3x+3+3x=x^2+x
x^2-5x-3=0
x=(5+/-sqrt(25-4*1*(-3)))/2 = (5+/-sqrt37)/2
x=(5+sqrt37)/2 = 5.54