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Mathematics, 04.08.2019 17:20 beeboppity

14 points! problem: as a punishment for something naughty that we did, my little brother and i have to whitewash both sides of a fence. we start at the same time, and we each work at a constant rate. if we each whitewash one side, i'll finish in 2 hours and my brother will finish in 3 hours. but i'm a nice kid, so after i finish my side, i go around to the other side and my brother finish his side. from the time i start him, how many minutes does it take us to finish the job? hint(s): indeed, my brother would have an hour to go if i didn't him. but i'm faster than he is! so when i him, we should finish in less than half the time it would take for him to do the job alone. what fraction of a side can i paint in an hour? how about my brother? how about both of us together?

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