# Two hoses when connected to a swimming pool can fill together in four hours. if the larger hose alone is used, it can fill the pool in 6 hours less than the smaller hose. how long will it the smaller hose to fill the swimming pool alone?-- ^-^

1
by geluh

2015-07-11T15:33:33+08:00

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We let the time taken when ....
the larger hose alone is used be x - 6
and the smaller hose as x.

This would make their rates and  respectively.

Take note that:
1 / rate = time
so,
1 / rate of both hoses = 4
rate of both hoses = 1/4

This would mean that x = 12 or 2 but x cannot be 2 since that would make the time taken for the larger hose negative.

Therefore it will take the smaller hose 12 hours to fill the swimming pool alone.
thanks for helping (again) :)