SOLUTION: a swimming pool can be filled by 3 water pipes, A, B and C. Pipe C alone can fill the pool in 8 hours. If pipes B and C are used together, it can be filled in 6 hours. If pipes A a

Question 805778: a swimming pool can be filled by 3 water pipes, A, B and C. Pipe C alone can fill the pool in 8 hours. If pipes B and C are used together, it can be filled in 6 hours. If pipes A and B are used together, it takes 10 hours. How long does it take to fill the pool if all three pipes are used?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a swimming pool can be filled by 3 water pipes, A, B and C. Pipe C alone can fill the pool in 8 hours. If pipes B and C are used together, it can be filled in 6 hours. If pipes A and B are used together, it takes 10 hours. How long does it take to fill the pool if all three pipes are used?
***
1/8=fill rate of C
1/x=fill rate of B
1/y=fill rate of A
1/z=fill rate when all three pipes are used
sum of individual rates=rate working together
...
1/8+1/x=1/6
1/x=1/6-1/8=4/24-3/24=1/24
1/x=1/24(fill rate of B)
..
1/x+1/y=1/10
1/24+1/y=1/10
LCD:240
1/y=1/10-1/24=(24-10)/240=14/240=7/120(fill rate of A)
..
1/8+1/24+7/120=1/z
LCD:120
(15+5+7)/120=27/120=9/40
How long does it take to fill the pool if all three pipes are used? 40/9 hrs

RELATED QUESTIONS
A swimming pool can be filled up by pipes A and B in 3 hours and 35 minuted. If pipe A... (answered by ankor@dixie-net.com)

If a swimming pool can be filled in 15 hours by pipe A alone and in 24 hours by pipe B... (answered by ptaylor)

there are three pipes that can fill a pool. pipe A can fill the pool in 8 hours. pipes A... (answered by Edwin McCravy)

A swimming pool can be filled up in 4 hours by pipe A, 3 hours by pipe B, and 6 hours by... (answered by lwsshak3)

A swimmming pool can be filled up by pipes A and B in 3 hours and 35 minutes. If pipe A... (answered by lwsshak3)

A pool can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the pool is... (answered by ankor@dixie-net.com)

A backyard swimming pool has two fill pipes and a drain pipe. The pool fills in 9 hours... (answered by ankor@dixie-net.com)

1) A silversmith has two alloys, one containing 30% silver and the other,55%. How much of (answered by ankor@dixie-net.com)

A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe... (answered by ewatrrr)