Question 446846: It takes Sam h hours to rake the yard, and it takes Emma k hours to rake the yard, where h>k. let t be the amount of time it takes Sam and Emma to rake the yard working together. is t less than k, between k and h, or greater than k?
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website! It takes Sam h hours to rake the yard, and it takes Emma k hours to rake the yard, where h > k. Let t be the amount of time it takes Sam and Emma to rake the yard working together. Is t less than k, between k and h, or greater than k?
Since h > k, Emma is the faster raker, and she can rake the
yard in only k hours by herself. Therefore when Sam helps
her out, the yard will be raked is even less time than the
k hours it would take her alone, so t < k.
Edwin
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