SOLUTION: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool t

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Question 268577: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? (answer in minutes) Please show steps
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
they each fill a FRACTION of the pool, based on their individual rates
___ the fractions sum to one -- the WHOLE pool

(x / 30) + (x / 45) + (x / 90) = 1

multiplying by 90 (LCD) ___ 3x + 2x + x = 90

6x = 90 ___ x = 15