SOLUTION: john cleans the house for two hours more than jane. If they work together they clean the house for 2 hours and 24 minutes. For how many hours does john clean the house? can you wri

Algebra ->  Rate-of-work-word-problems -> SOLUTION: john cleans the house for two hours more than jane. If they work together they clean the house for 2 hours and 24 minutes. For how many hours does john clean the house? can you wri      Log On


   

Question 672305: john cleans the house for two hours more than jane. If they work together they clean the house for 2 hours and 24 minutes. For how many hours does john clean the house? can you write the solution as well
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If A takes time periods to do a job, then A can do of the job in 1 time period. If B takes time periods longer to do the same job, then B can do of the job in 1 time period. Therefore, working together they can do



of the job in 1 time period.

If we also know that they can complete the job in time periods working together, then they can complete of the job in 1 time period working together. Therefore, we can say:



Where you are given that and is 2 hours and 24 minutes.

Your calculations will be greatly simplified if you use the following:



Just plug in the numbers and solve for

John

My calculator said it, I believe it, that settles it
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