A boy and girl together fill a cistern with water. The boy pours 4 liters of water every 3 minutes and girl pours 3 litres every 4 minutes. How much time will it take to fill 100 litres of water in the cistern?

136 minute
242 minutes
348 minutes
444 minutes

Answer:- 1

Explanation:-

Solution:

Water filled by (boy + girl) in one minute,

\begin{aligned} \frac{4}{3} + \frac{3}{4} = \frac{16 + 9}{12} \\ = \frac{25}{12} liter \end{aligned}

$\eqalign{ & \frac{4}{3} + \frac{3}{4} = \frac{{16 + 9}}{{12}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{25}}{{12}}\,{\text{liter}} \cr}$
Hence, time taken to fill 100 liter,

= 100 \times \frac{12}{25} = 48 minutes

${\text{ = 100}} \times \frac{{12}}{{25}} = 48\,{\text{minutes}}$

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Hence, time taken to fill 100 liter,

= 100 \times \frac{12}{25} = 48 minutes

${\text{ = 100}} \times \frac{{12}}{{25}} = 48\,{\text{minutes}}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Water filled by (boy + girl) in one minute,

\begin{aligned} \frac{4}{3} + \frac{3}{4} = \frac{16 + 9}{12} \\ = \frac{25}{12} liter \end{aligned}

$\eqalign{ & \frac{4}{3} + \frac{3}{4} = \frac{{16 + 9}}{{12}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{25}}{{12}}\,{\text{liter}} \cr}$
Hence, time taken to fill 100 liter,