How Long Will It Take To Fill The Pool Using All 4 Faucets Together?
Read the riddle and answer the question.
A swimming pool has four faucets.
They fill the pool in following times;
- The first can fill the entire pool with water in two days,
- The second in three days,
- The third in four days, and
- The last one can fill the pool in 6 hours.
How long will it take to fill the pool using all 4 faucets together?
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Answer:
Because there are 24 hours in one day, in one hour fills the first tap 1/48, the second tap 1/72, the third tap 1/96 and the fourth tap fills 1/6 of the reservoir.
That is all together (6+4+3+48) / 288 = 61/288.
The reservoir will be full in 288/61 hours, which is 4 hours 43 minutes and about 17 seconds.