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Easiest way to attempt these questions is to remember only add and equate rates.

Ra + Rb + Rc = Rabc


Then use Rate = work / time

Let v b volume of pool

Ra V/30
Rb V/60
Rc V/90

Putting it in above formula

Ra + Rb + Rc = V ( 1/30+ 1/60 + 1/90 )

Rabc = V/15

Rabc = V / Tabc

V/15 = V / Tabc

Tabc = 15 minutes

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Bunuel
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?

A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes

Units of Work be 90.
Units of Work done in each minute : 3,2 and 1. Total 6.
90/6 is 15 minutes.
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Bunuel
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?

A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes


We can create the rate equation, where n = the combined time it takes all 3:

1/30 + 1/45 + 1/90 = 1/n

3/90 + 2/90 + 1/90 = 1/n

6/90 = 1/n

1/15 = 1/n

15 = n

Answer: B
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