Alli can mop Strong Hall in 10 hours. Working together. Alli and Zach mop Strong Hall in 4 hours. How long would it take Zach to do this job alone?

albiguguiismx 2022-09-14 Answered
Alli can mop Strong Hall in 10 hours. Working together. Alli and Zach mop Strong Hall in 4 hours. How long would it take Zach to do this job alone?
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Answers (1)

Julianna Crawford
Answered 2022-09-15 Author has 8 answers
Let each would mop the strong hall x hours
Then in 1 hour each can mop 1 x of the strong hall
Again similerly if Ali can mop the strong hall in 10 hours.
So in 1 hour Ali alone can mop 1/10 of the strong hall.
Now they together mop the hall in 4 hours
So 4 × ( 1 x + 1 10 ) = 1 1 x + 1 10 = 1 4 1 x = 1 4 1 10 1 x = 5 2 20 1 x = 3 20 x = 20 3 x = 6.67
So each alone would mop the strong hall in 6.67 hours.
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