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# Rational equations word problem: combined rates

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Ian can rake a lawn and bag the leaves in 5 hours. Kyandre can rake the same lawn and bag the leaves in three hours Working together,how long would it take them to rake the lawn and bag the leaves? Let's think about for a little bit. Ian can rake a lawn and bag the leaves in 5 hours, so for Ian,I for Ian,he can for one lawn do in 5 hours. We could have also written it as 5 hours per lawn, but we will see that writing it in this way is more usefull because it is actually a rate, because this is the same thing as one over five lawns per hour or one fifth of a lawn per hour, that's the rate of which Ian can rake a lawn. At one fifth of a lawn per hour, now lets do the same thing for Kyandre. And this actually probably shouldn't be plural, one fifth a lawns,one fifth of a lawn. So let me just erase that s right there. One fifth of a lawn per hour, now lets do the same thing for Kyandre, Kyandre can rake the same lawn and bag the leaves in three hours. So for Kyandre,Kyandre can for one lawn, I'll assume it's a boy,can do it in three hours, in three hours or if we were to write it as rate, this is one third of a lawn per hour.