SOLUTION: One garden hosecan fil an above-ground in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours

Question 38573: One garden hosecan fil an above-ground in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take?

Thanks for answering!:-)
Answer by AnlytcPhil(1807) (Show Source): You can put this solution on YOUR website!


One garden hose can fill an above-ground in 10 hours. A second 
hose can fill the pool twice as fast as the first one. If both 
hoses are used together to fill the pool, how many hours will 
it take?

Let x = the number of hours it takes if both hoses are used

>>...One garden hose can fill an above-ground pool in 10 hours...<<

Therefore in 1 hour the first hose can fill 1/10th of the pool

Therefore, in x hours the first hose can fill x/10ths of the pool  

>>...A second hose can fill the pool twice as fast as the first one...<<

This tells us that the second hose can fill it in only 5 hours, since
the first one can fill it in 10 hours.

Therefore in 1 hour the second hose can fill 1/5th of the pool

Therefore, in x hours the first can fill x/5ths of the pool 

To get the equation:

(Fraction of pool the 1st hose fills in x hours) +
             (Fraction of pool the 1st hose fills in x hours) =
                            One pool filled in x hours

   x/10 + x/5 = 1
          
Can you solve that? If not post again
Hint: clear of fractions by multiplying thru by LCD = 10

Answer: 3 1/3 hours or 3 hours 20 minutes.

Edwin
AnlytcPhil@aol.com

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