Working together, two people can cut a large lawn in 4 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the job? the faster person would do the job alone in hours.

Answer:The faster person will do the job in 7.53hours

Step-by-step explanation:

Let t=faster person

Let t-1 = the other person

The job to be done = 1

Each person will do a fraction of the job

4/t+4/t-1=1

Multiply both sides wit t (t-1)

4 (t+1) + 4t=t (t-1)

4t+4+4t=t^2+t

8t+4=t^2+t

0=t^2+t-8t-4

t^2-7t-4=0

Use Almighty formular to solve d quadratic equation

X=-b + - rootb^2-4ac/2a

X=t, a=1, b=-7 c=4

Substituting the values you get:

t=-7 + - root 49+16/2

t=-7 + - root 65/2

t=7 + 8.06/2=15.06/2

t=7.53 hours