# Question 2622d

Dec 4, 2017

$8 \frac{4}{7}$ 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 = $\frac{1}{60} + \frac{1}{30} + \frac{1}{15} = \frac{1 + 2 + 4}{60} = \frac{7}{60}$th parts of the tub.
So whole tub will filled = 1÷7/60=1*60/7=8 4/7# minutes.

Dec 4, 2017

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

#### Explanation:

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

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

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

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

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

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

$\frac{1}{F} \mathmr{and} \frac{1}{\frac{7}{60}} = \frac{60}{7} = 8 \frac{4}{7}$minutes. [Ans]