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:
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
Discussion & Comments