Painting Puzzler – Car Talk

I never could remember how to solve these type of questions.

RAY: Tommy, Dougie and I are sitting around the office one day at Car Talk Plaza. We were noticing how dingy the place looked. We’d been there 15 years, and the place had never been painted. So, we decided to paint Car Talk Plaza.

We didn’t know which team of us was going to do it, so we sat down and decided to do a little math. We determined that Tommy and I together could paint the entire Car Talk plaza in 10 days. After all, we had a lot of painting experience as kids, having painted Dad’s car a couple of times with brushes.

Dougie and I could do it in 15 days. And, if Doug and Tom worked together, they could do it in 30 days.

The question is how long would it take each of us, painting by ourselves, to paint the whole of Car Talk Plaza?

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2 Responses to Painting Puzzler – Car Talk

  1. Kate Nowak says:

    Not sure if you’re looking for hints or a solution or what, but the whole thing is to think about and compare the amount of the job getting done, or rates. It doesn’t make sense to add times (If it takes me 3 days to eat a bag of Oreos and it takes you 2 days, it doesn’t take us 5 days together… that makes no sense. If I take 2 days, it will take us less than 2 days if you are helping me.) Instead, compare rates: I can eat 1/3 a bag of Oreos in a day, and you can eat 1/2 a bag of Oreos in a day, then together we can eat 5/6 of a bag of Oreos in a day. So it will take us 1.2 days to eat one bag.

    I have a solution for the Car Talk problem, if you feel like checking in!

  2. Fawn Nguyen says:

    I actually like these work problems. Me and my rectangles :) http://fawnnguyen.com/2012/12/11/20121211.aspx

    Dougie seems pretty useless when it comes to painting though.

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