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6 July, 12:54

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.

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  1. 6 July, 13:11
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    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
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