A pipe can fill a tank in 2\frac{2}{3} hours, and another pipe empties it in 4 hours. If both are opened together, how long will it take to fill the tank?
A pipe can fill a tank in $2\frac{2}{3}$ hours, and another pipe empties it in 4 hours. If both are opened together, how long will it take to fill the tank?
एक पाइप टंकी को $2\frac{2}{3}$घंटे में भर सकता है, और दूसरा पाइप उसे 4 घंटे में खाली कर सकता है। यदि दोनों पाइप एक साथ खोल दिए जाएँ, तो टंकी को भरने में कितना समय लगेगा?
Detailed Solution & Logic
Correct Answer:
8h/ घंटे
Time taken by filling pipe = $2\frac{2}{3}$ hours
$2\frac{2}{3} = \frac{8}{3}$ hours
Filling rate of pipe A:
$= \frac{1}{8/3} = \frac{3}{8}$ tank per hour
Emptying rate of pipe B:
$= \frac{1}{4}$ tank per hour
Net filling rate when both are opened:
$= \frac{3}{8} - \frac{1}{4}$
$= \frac{3}{8} - \frac{2}{8}$
$= \frac{1}{8}$ tank per hour
Time to fill the tank:
$= \frac{1}{1/8} = 8$ hours
Answer: 8 hours
Similar Practice Questions
If 25 people, working 15 hours a day,
If 25 people, working 15 hours a day, can complete 5 units of work in...
Ritu and Mona can finish painting a house
Ritu and Mona can finish painting a house together in 18 days. Ritu alone would...
A can do half of a piece of work in 10 days,
A can do half of a piece of work in 10 days, while B can...
Rajeshwar can do a piece of work in 12 days,
Rajeshwar can do a piece of work in 12 days, Vikram in 6 days and...
P and Q together can fill a cistern
P and Q together can fill a cistern with water in 3 hours. If P...
Pipe P can fill 5/9 of a tank in 25 hours, and pipe Q can fill 8/9 of the same tank in 24 hours. Pipes P and Q are opened together for 3 hours and then closed. After that, only pipe R is opened, which can empty the tank in 8 hours. If pipes P, Q, and R are all opened together, how much time will it take to fill the empty tank?
Pipe P can fill 5/9 of a tank in 25 hours, and pipe Q can...
Two pipes, M and N, can fill a tank in 10 minutes and 15 minutes,
Two pipes, M and N, can fill a tank in 10 minutes and 15 minutes,...