Magie can type 5 letters in 20min - and Suying can type 2 letters in 10 min. Working together and assuming each letter is the same length. How many minutes will, to take them to type 45 letters?

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Given: Given: Manny can type 6 letters in 20 minutes. Find Manny's typing rate per minute. The rates are given by the reciprocal of their respective times. Manny's_rate = 6 letters / 20 minutes = 3 letters / 10 minutes.Find Manny's rate: Given: Magie can type 5 letters in 20 minutes. Find Magie's typing rate per minute. The rates are given by the reciprocal of their respective times. Magie's_rate = 5 letters / 20 minutes = 1 letter / 4 minutes.Find Magie's rate: Given: Suying can type 2 letters in 10 minutes. Find Suying's typing rate per minute. The rates are given by the reciprocal of their respective times. Suying's_rate = 2 letters / 10 minutes = 1 letter / 5 minutes.Find Suying's rate: Manny's rate = 3/10 Magie's rate = 1/4 Suying's rate = 1/5 Find the combined rate. Combined_rate = Manny's_rate + Magie's rate + Suying's rate = (3/10) + (1/4) + (1/5) = (6/20) + (5/20) + (4/20) = (6 + 5 + 4) / 20 = 15/20 = 3/4 letters per minute.Calculate Combined Rate: Combined rate = 3/4 letters per minute. Find the number of minutes it would take them to type 45 letters together. T = Total letters / Combined rate T = 45 letters / (3/4 letters per minute) T = 45 * (4/3) minutes T = 180/3 minutes T = 60 minutes.

Magie can type $5$ letters in $20$ min - and Suying can type $2$ letters in $10$ min. Working together and assuming each letter is the same length. How many minutes will, to take them to type $45$ letters?

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Magie can type $5$ letters in $20$ min - and Suying can type $2$ letters in $10$ min. Working together and assuming each letter is the same length. How many minutes will, to take them to type $45$ letters?