Question

A tank can be filled by a tap in 5 hours and emptied by an outlet pipe in 8hours. How long will it take to full if both the taps are opened together?

Answer 1

Answer:

$time \: to \: fill = 13 \frac{1}{3} \: hour \\ 13hours \: 20min$

Step-by-step explanation:

tank can be filled in = 5 hr

part of tank fill in 1 hr = 1/5

tank emptied in = 8 hr

part of tank emptied in 1 hr = 1/8

if 2 taps opened

part of tank fill in 1 hour =

$\frac{1}{5} - \frac{1}{8}$

$= \frac{8 - 5}{40}$

$= \frac{3}{40}$

total time taken to fill = 40/3 hours

=13 1/3 hours

Answer 2

Answer:

13 hrs 20mins

Step-by-step explanation:

the time be in 13 hrs in first mixed and other one third will be 20