Question

A cistern can be filled by one tap in 4 hours and by another in 3 hours how long with it take to fill if both taps are opened together?

Answer 1

$\mathfrak{\huge{\blue{\underline{\green{Hola\: !}}}}}$

$\mathbb{\underline{\orange{SOLUTION:}}}$

Time taken by tap 1 to fill the cistern = 4 Hrs
=> part of work done in 1h = $\frac{1}{4}$

Time taken by tap 2 to fill the cistern = 3 Hrs
=> part of work done in 1 h = $\frac{1}{3}$

Part of work by both cistern = $\frac{1}{4} + \frac{1}{3}$
= $\frac{7}{12}$

Time taken by both taps to fill cistern
= $\frac{1}{part\: of\: work\: done\: by\: both\: cistern}$

= $\frac{12}{7}$

= $1\frac{5}{7} Hrs$

If both cisterns are opened together,
$\underline{\underline{It\: will\: take\: 1\frac{5}{7} Hrs}}$

$\mathfrak{\huge{\pink{Cheers}}}$

$\mathcal{\huge{\blue{Hope\: it\: Helps}}}$

Answer 2

I hope you understand it