CAT 2023 Set-2 | Quantitative Aptitude | Question: 8

Question

Pipes $\mathrm{A}$ and $\mathrm{C}$ are fill pipes while Pipe $\mathrm{B}$ is a drain pipe of a tank. Pipe $\mathrm{B}$ empties the full tank in one hour less than the time taken by Pipe $\mathrm{A}$ to fill the empty tank. When pipes $\mathrm{A, B}$ and $\mathrm{C}$ are turned on together, the empty tank is filled in two hours. If pipes $\mathrm{B}$ and $\mathrm{C}$ are turned on together when the tank is empty and Pipe $\mathrm{B}$ is turned off after one hour, then Pipe $\mathrm{C}$ takes another one hour and $15$ minutes to fill the remaining tank. If Pipe $\mathrm{A}$ can fill the empty tank in less than five hours, then the time taken, in minutes, by Pipe $\mathrm{C}$ to fill the empty tank is

• A. $75$
• B. $120$
• C. $60$
• D. $90$

   

Answer 1

We can use the help of fractions contributed per pipe to solve this problem