Posted by **iris** on Wednesday, October 26, 2011 at 11:38am.

john and mary are working on a job together. if john does it alone, it will take him seven days, while mary can do it alone in five days. how long will it take them to do it together?

- math -
**bobpursley**, Wednesday, October 26, 2011 at 11:44am
john rate= job/7hrs

mary rate=job/5 hrs

combined rate= job/7hrs+job/5hrs= (5+7)/35= 10/35 job/hr

so, time= howmuch/rate= 1job/(10jobs/35hrs)= 3.5 hrs

- math -
**Steve**, Wednesday, October 26, 2011 at 5:02pm
Or, if you use base 10, where 7+5=12, that would be 35/12 hours, or 2 hours 55 min

The 3.5 hours caught my eye, because that would be the time taken by 2 people who take 7 hours each.

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