Question #2622d

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Question #2622d

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Answer 1 · 2017-12-04T11:52:33

$8 \frac{4}{7}$ $8 4/7$ minutes

Explanation:

First tap filled in 1 minute = 1/60th parts of the tub.
Second tank filled in 1 minute = 1/30th parts of the tub.
Third tap filled in 1 minute = 1/15th parts of the tub.
3 taps together filled in 1 minute = $\frac{1}{60} + \frac{1}{30} + \frac{1}{15} = \frac{1 + 2 + 4}{60} = \frac{7}{60}$ $1/60+1/30+1/15 = (1+2+4)/60 = 7/60$ th parts of the tub.
So whole tub will filled = $1 \div \frac{7}{60} = 1 \cdot \frac{60}{7} = 8 \frac{4}{7}$ $1÷7/60=1*60/7=8 4/7$ minutes.

Answer 2 · 2017-12-04T11:53:36

To fill the whole tub all $3$ $3$ taps will take $8 \frac{4}{7}$ $8 4/7$ minutes.

Explanation:

$1$ $1$ hour $= 60$ $=60$ minutes and $\frac{1}{2}$ $1/2$ hour $= 30$ $=30$ minutes

In $1$ $1$ minute $1$ $1$ st tap fills $\frac{1}{60}$ $1/60$ th part of bath tub.

In $1$ $1$ minute $2$ $2$ nd tap fills $\frac{1}{30}$ $1/30$ th part of bath tub.

In $1$ $1$ minute $3$ $3$ rd tap fills $\frac{1}{15}$ $1/15$ th part of bath tub.

In $1$ $1$ minute all $3$ $3$ taps fill $F = (\frac{1}{60} + \frac{1}{30} + \frac{1}{15}) = \frac{7}{60}$ $F=(1/60+1/30 +1/15)= 7/60$ th

part of bath tub. So to fill the whole tub all $3$ $3$ taps will take

$\frac{1}{F} or \frac{1}{\frac{7}{60}} = \frac{60}{7} = 8 \frac{4}{7}$ $1/F or 1/(7/60)=60/7 = 8 4/7$ minutes. [Ans]

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Question #2622d

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