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A and B can fill a tank in 12 hours and 20 hours respectively while Pipe C can empty it in 15 hours. They all are opened together. After 5 hours, efficiency of A and B are increased by 20% and 100% respectively and efficiency of C is decreased by 50%. Find the total time taken to fill the tank if it is completely empty in the start.
6 hours
7 hours
8 hours
9 hours
10 hours
- Pipe A can fill the entire tank in 12 hours, giving it an hourly rate of 1/12 of the tank.
- Pipe B fills it in 20 hours, contributing 1/20 of the tank per hour.
- Pipe C empties the tank in 15 hours, with a rate of -1/15 of the tank per hour.
- Initially, the combined rate per hour for 5 hours is \((1/12 + 1/20 - 1/15)\).
- After 5 hours:
- A's efficiency increases by 20%, so it now fills at 1.2/12 (or 1/10) of the tank per hour.
- B's efficiency doubles, so it fills at 2/20 (or 1/10) of the tank per hour.
- C’s efficiency decreases by 50%, so it empties at -1/30 of the tank per hour.
- The new combined rate per hour is \( (1/10 + 1/10 - 1/30) \).
- Calculate total tank filled in both phases and determine total time for more precision.
- Given all the math, the correct answer is:
Option:4- 9 hours
YOUR ANSWER IS WRONG
By: Parvesh Mehta ProfileResourcesReport error
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