Question

It would take 140 minutes to fill a swimming pool using the water from four taps. how many minutes would it take if only two of the taps are used?



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Answer 1

Step-by-step explanation:

According to question

4 taps fillthe pool =140 minutes

Answer 2

$\large\underline{\sf{Solution-}}$

Given that, It would take 140 minutes to fill a swimming pool using the water from four taps.

Now, we have to find the time taken to fill a swimming pool if two taps are used.

We know, less number of taps are used to fill a swimming pool, more time is taken to fill.

So, it means, number of taps to fill a swimming pool is inverse variation with time taken to fill a swimming pool.

Let assume that time taken by 2 taps to fill a swimming pool is x minutes.

So,

$\color{blue}\begin{array}{|c|c|c|c} \hline \rm Number \: of \: taps&\rm 4&\rm 2 \\ \\ \hline\rm Time \: taken \: (in \: minutes)&\rm 140&\rm x \\ \\ \hline \end{array}$

So, using law of inverse variation, we have

$\rm \: 4 \times 140 = 2 \times x$

$\rm \: x = 2 \times 140$

$\rm\implies \:x = 280 \: minutes$

Hence, 280 minutes would be taken by 2 taps, to fill a swimming pool.

$\rule{190pt}{2pt}$

Concept Used :-

Inverse Variation :- Two quantity x and y are said to be in inverse variation iff increase in one quantity with respect to decrease in other quantity or decrease in one quantity with respect to increase in other quantity.