Category: Quantitative Reasoning
Difficulty: Medium
Result: Wrong
8. If it were four hours later, it would be half as long until midnight as it would be if it were two hours later. What time is it now?
- 4pm
- 5pm
- 6pm◀ Correct Answer
- 7pm
- 8pm
This question requires logical reasoning and time calculation. You are asked to determine the current time based on a set of conditions.
The condition states: "If it were four hours later, it would be half as long until midnight as it would be if it were two hours later." This means you need to calculate how the time difference between the current time and midnight changes depending on whether you add four or two hours to the current time.
Let's break it down:
- Let x represent the current time in hours before midnight.
- If the time were four hours later, the remaining time until midnight would be x - 4.
- If it were two hours later, the remaining time until midnight would be x - 2.
The condition tells us that the time remaining after adding four hours (x - 4) is half the time remaining after adding two hours (x - 2).
This gives the equation: x - 4 = 0.5 * (x - 2).
Solving this equation for x gives 6 hours, meaning the current time is 6 PM (since 6 hours remain until midnight).
Therefore, the correct answer is 6pm.