I can finish a work in 15 days at 8 hours a day. You can finish it in 20/3 days at 9 hours a day. Find in how many days we can finish it together, if we work 10 hours a day.
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The answer has to be 4 days.
I can finish the work in 15*8 = 120 hrs
You can finish it in 20/3*9 = 60 hrs
Together we complete (1/120+1/60 = 1/40) of work each hour.
It will take 40 hrs to finish the work.
Working at 10hrs each day, it will take 40/10 = 4 days to finish the work.
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