It takes a girl 90 minutes to mow her mother's yard and her brother cando it in 60 minutes. How long would it take them to mow if they workedtogether using the two mowers?

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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Let us say the total work is X.

Then the girl takes 90 minutes to do the job and her brother only take 60 minute.

Work done by girl in one minute = (X/90)

Work done by boy in one minute = (X/60)

Let us say when they both work together it take Y minutes.

`Y xx (X/90) + Y xx (X/60) = X`

`(Y/90) + (Y/60) = 1`

`Y = (90 xx 60)/150 = 36 minutes.`

So when they both work together it will take 36minutes.

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