A tank is filled in 5 hours by three pipes A, B, and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
2 (35 hours)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Given:
- Pipe A alone takes x hours to fill the tank.
- Pipe B will take x/2 hours to fill the tank.
- Pipe C will take x/4 hours to fill the tank.
The rates of filling by each pipe are:
- Pipe A: 1/x
- Pipe B: 2/x
- Pipe C: 4/x
ATQ,
1/x + 2/x + 4/x = 1/5
7/x = 1/5
x = 35 hours
∴ The time taken by Pipe A alone to fill the tank is: 35 hours
