SOLUTION: Please help me solve this problem: There are two hoses filling up a pool. The two hoses have different capacities; using one hose, the job
only takes 45 minutes, but using the oth
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-> SOLUTION: Please help me solve this problem: There are two hoses filling up a pool. The two hoses have different capacities; using one hose, the job
only takes 45 minutes, but using the oth
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Question 1171603: Please help me solve this problem: There are two hoses filling up a pool. The two hoses have different capacities; using one hose, the job
only takes 45 minutes, but using the other hose would take 2 hours. How long would it take to fill up
the pool using both hoses?
I've tried: 1/x + 1/120 = 1/45, not sure what to do after this.
Thank you! Answer by ikleyn(52884) (Show Source):
One hose filling rate is = of the pool volume per hour (notice that 45 minutes = of an hour).
Other hose filling rate is of the pool volume per hour.
The combined rate of work is the sum + = = of the pool volume per hour.
Hence, the two hose, working together, will fill the pool in of an hour, which is 32.72 of a minutes. ANSWER
Solved.
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It is a standard and typical joint work problem.
