Question

7 taps of the same size fill a tank in 1 hour 36 minutes. How long will 8 taps of the same size take to fill the tank ?

Answer 1

Let 8 taken will fill in tank in x hour

No. of taps : Time taken :: No. of taps : Time taken

7 : $1\frac{36}{60}=1\frac{3}{5}=\frac{8}{5}hrs.$ :: 8 : x

(more taps, less time)

$\therefore$ By inverse proportional

7 : x :: 8 : $\frac{8}{5}$

$x=\frac{8\times 7}{5\times 8}=\frac{7}{5}hours$

Time taken = $\frac{7}{5}$ hour = 1 hour 24 minutes