Brain Teasers
Rattlesnake Jake
It's time to paint the Big Barn, and Paul has enlisted the help of "Rattlesnake" Jake, his rancher neighbor from across the Snake River. Jake is feelin' a mite achy, having spent the previous day bustin' some broncs, so it takes him six hours to paint one wall. Paul plans to spend some time with Miss Rosy Boa later in the afternoon, so he gets his wall done in three hours. Assuming all the walls are the same size, how much time would it take Paul and Jake to complete another wall while working together at their previous pace?
Answer
2 hours.Breaking down the job on an hourly basis, Paul can finish 1/3 of the job in an hour, while Jake completes 1/6 of the wall in the same hour. Working together, they will complete 1/3 plus 1/6 (or 1/2) of the wall in one hour, and finish the job in two.
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