SOLUTION: If Lisa and Mark can mow their lawn together in 1 hour, and Lisa can mow the lawn by herself in 3 hours, what is Mark's rate, working alone? I came up with this equation: t1/3 + t

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Question 886951: If Lisa and Mark can mow their lawn together in 1 hour, and Lisa can mow the lawn by herself in 3 hours, what is Mark's rate, working alone? I came up with this equation: t1/3 + t =1 and of course my answer is wrong.

Answer by MathTherapy(10810)   (Show Source): You can put this solution on YOUR website!
If Lisa and Mark can mow their lawn together in 1 hour, and Lisa can mow the lawn by herself in 3 hours, what is Mark's rate, working alone? I came up with this equation: t1/3 + t =1 and of course my answer is wrong.

Let time Mark takes to mow by himself, be M
Then Mark can mow 1/M of lawn in 1 hour
Lisa can mow lawn in 3 hours, or 1/3 of lawn in 1 hour
Therefore,

3 + M = 3M ------ Multiplying by LCD, 3M
3 = 3M - M
2M = 3
M, or time Mark takes, alone, to mow = , or hours
Mark's rate: , or , or of lawn in 1 hour
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