SOLUTION: HELP ME PLEASE!!! Tom and Ben are roommates. It takes them 90 minutes to clean the house together. Tom takes twice as long as Ben to clean. If Tom has to clean alone, how long wil

Algebra ->  Rate-of-work-word-problems -> SOLUTION: HELP ME PLEASE!!! Tom and Ben are roommates. It takes them 90 minutes to clean the house together. Tom takes twice as long as Ben to clean. If Tom has to clean alone, how long wil      Log On


   



Question 781052: HELP ME PLEASE!!!
Tom and Ben are roommates. It takes them 90 minutes to clean the house together. Tom takes twice as long as Ben to clean. If Tom has to clean alone, how long will it take him?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of hours it takes Ben to clean the house by himself. Then it would take Tom hours to do it by himself. 90 minutes is 1 and 1/2 hour or 3/2 hour.

If Ben can clean the house in hours, he can clean of the house in one hour. Likewise Tom can clean of the house in one hour. And, working together, they can clean of the house in one hour. That means that:



Solve for , then calculate

John

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