Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

Question

Mathematics

Reese Booth

21 January, 05:38

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

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Ronin Ward · Answer 1

The missing value that represents the rate for Marie is 1/60. As mentioned in the table, rate (r) is the part (p) per minute (t). Let's check if it works for Lea. If p = 1/80t, then r = (1/80t) / t = 1/80 * t/t = 1/80 * 1 = 1/80. So, the formula works. Now, calculate the rate for Marie. If p = 1/60t, then r = (1/60t) / t = 1/60 * t/t = 1/60 * 1 = 1/60