If a single inlet pipe fills a tank in 6 hours, what portion of the tank is filled by this pipe in exactly 1 hour?

Difficulty: Easy

Correct Answer: 1/6

Explanation:


Introduction / Context:
The rate for finishing one job in T hours is 1/T job per hour. For a tank-filling problem, that means the fraction of a full tank filled per hour is the reciprocal of the total time in hours.



Given Data / Assumptions:

  • Total time to fill one full tank = 6 hours.
  • Rate is constant and there are no leaks.


Concept / Approach:
Fraction filled in 1 hour = 1 / 6 of the tank.



Step-by-Step Solution:
Rate = 1/6 tank per hour.In 1 hour, filled = 1/6 of the tank.



Verification / Alternative check:
Over 6 hours, 6 * (1/6) = 1 whole tank, confirming consistency.



Why Other Options Are Wrong:
1/3, 1/4, and 1/5 overstate the rate compared to the given 6-hour completion time.



Common Pitfalls:
Confusing rate with remaining fraction or misapplying proportionality.



Final Answer:
1/6

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