Question

en un a piscina caben 40 000 litros cuanto tiempo tardan en llenarse mediante un grifo que echa 15 litros por inuto

Answer 1

$Hola~~~\mathbf{Juliana} \\ \\ Tenemos: \\ \\ 1mimuto---\ \textgreater \ 15L \\ ~~~~~~x~----\ \textgreater \ 40~000L \\ \\ x= \frac{40~000'}{15} \\ \\\boxed{ x= 2666,6666.............minutos }\\ \\ x=2666+\underbrace{0,666666....}_{ \frac{2}{3} } \\ \\ x=2666'+ \frac{2}{3}'~~--\ \textgreater \ pasemos~a ~horas \\ \\ x= \frac{8000}{3}'~--\ \textgreater \ pasando~a ~horas=\ \textgreater \ \frac{8000}{3}'. \frac{1h}{60'} =44,44444.....horas \\ \\ x=44h+\underbrace{0,444444....horas}_{ \frac{4}{9}h } \\ \\ x=44h+ \frac{4}{9}h~--\ \textgreater \ pasesmos~a~minutos ~\frac{4}{9}h$


$x=44h+\underbrace{ \frac{4}{9}h }_{26,6666...'} \\ \\ x=44h26'+0,66666....minutos~ \\ \\ x=44h26'+\underbrace{0,66666......minutos} _{ \frac{2}{3}' } \\ \\ x=44h26'+ \frac{2}{3}'~--\ \textgreater \ pasemos~a~segundo~seria \\ \\ x=44h26'+ \underbrace{\frac{2}{3}'} _{40''} \\ \\ \boxed{\boxed{x=44h26'40''}} \\ \\ Entonces~tardara'~44horas~26minutos~40segundos \\ \\ ======================================\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~saludos!!$