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If john can paint a house in 5 hours and joe can paint a house in 3 hours how long will it take for both of them to paint the house?
To determine how long it will take for both John and Joe to paint the house together, you can use the formula: 1/(John's rate) + 1/(Joe's rate) = 1/(Combined rate). John's rate is 1 house per 5 hours, and Joe's rate is 1 house per 3 hours. So, 1/5 + 1/3 = 1/x, where x is the combined rate. Simplifying this equation, you get 3/15 + 5/15 = 1/x, which equals 8/15 = 1/x. Therefore, it will take John and Joe approximately 1.875 hours to paint the house together.
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ProfessorThe way you calculate this (assuming that both work at constant speed) is:* Calculate what part of the house each person can paint in an hour.
* Add both fractions together, to calculate what part of the house you can paint together.
* Take the reciprocal of this last result, to calculate the number of hours.
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