Analytical Puzzles
Hard
2 min
A tank is filled by two pipes. Pipe A fills it in 6 hours and Pipe B fills it in 3 hours. If both operate together, how long will they take to fill the tank?
Hint
Add their hourly filling rates.
Answer
2 hours.
Explanation
Pipe A fills 1/6 of the tank per hour and Pipe B fills 1/3. Together they fill 1/2 per hour, requiring 2 hours.
Step-by-Step Solution
Rate = 1/6 + 1/3.
= 1/6 + 2/6.
= 3/6 = 1/2.
Time = 2 hours.
= 1/6 + 2/6.
= 3/6 = 1/2.
Time = 2 hours.