Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?

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americangamergirls americangamergirls · Answer 1 · 2020-12-09T17:21:36+01:00

Answer:

The answer would be 45 minutes.

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ap8997154 ap8997154 · Answer 2 · 2022-07-14T12:45:44+02:00

A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let the time taken by Maya to lawn the garden be x.

The rate at which Maya lawn = 1/x

Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,

The rate at which Edward lawn = 1/(x+15)

Working together they can both cut a lawn in 18 minutes.

The rate at which they both work = 1/18

Now, the rate of working can be compared as,

1/x + 1/(x+15) = 1/18

(x+ x + 5)/x(x+15) = 1/18

(2x + 15)18 = x(x+15)

36x + 270=x² + 15x

x²-21x-270=0

x = 30, -9

Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,

x + 15

= 30 + 15

= 45 minutes

Hence, the time it takes Edward to cut the lawn alone is 45 minutes.

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