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?

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