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Algebra Word Problems : 'Together and Alone' Problems

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Problem 1:Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours . How long would it take the two painters together to paint the house?

Problem 2: Two trains leave the same train station at the same time , but in opposite direction. The faster train travels at an average rate of 75 miles per hour and the slower train travels at an average rate of 68 miles per hour . In how many hours will they be 715 miles apart?

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Together and alone word problems are solved. The solution is detailed and well presented.

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Please explain the problems step-by- step and if it requires an equation please set it up with an explanation thank you

Problem 1: Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours . How long would it take the two painters together to paint the house?

First painter can paint the entire house in 12 hours.
Therefore in 1 hour 1/12 Work will be done ...

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