Question

A tap can fill a tank in 25 minutes and another tap can empty it in 50 minutes. If both are opened together simultaneously, then the tank will be filled in

• A. $20$ minutes
• B. $30$ minutes
• C. $40$ minutes
• D. $50$ minutes

Answer 1

Answer: (D)

$50$ minutes

Part of the tank filled in $1$ min $=\frac{1}{25}$

part of the tank get followed out in 1 min $= \dfrac{1}{50}$

Part of the tank filled when both the taps are opened simultaneously $=\left(\frac{1}{25}-\frac{1}{50}\right)=\frac{1}{50}$

$\therefore$ If both the taps are opened together, the tank will be filled in 50 minutes.