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
