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 371905: 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 by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the time in minutes it takes all three to fill the pool

Per minute is the Equalizer***

1/30 + 1/45 + 1/90 = 1/x  Multiplying all terms by 90x so as all denominators= 1

3x + 2x + x = 90

6x = 90

x = 15 minutes, the time it takes all three to fill the pool



chaecking our answer

3/90 + 2/90 + 1/90 = 6/90 = 1/15