Is a ratio of 2 to 3 equal to a ratio of 2 to 5
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If Ann can build the model in 3 hours, then in 1 hour she gets 1/3 of it done. Likewise, if Sam can build the model in 6 hours, then in 1 hour he gets 1/6 of it done. We are looking to find how long it takes when they combine their efforts, so we will add the two together and set it equal to 1/x, x being the number of hours it takes for both of them to get the whole job done. The equation then looks like this: . You will have to find the common denominator to add those fractions, and once you do, cross multiply to solve for x.