Clock Gains Loses
Clock Gains/Loses problems involve clocks that run fast (gain time) or slow (lose time) at a certain rate. You must calculate the actual time when the clock shows a given time, or find how much the clock will gain/lose over a period.
What You'll Learn
Introduction to Clock Gains Loses
Clock Gains/Loses problems involve clocks that run fast (gain time) or slow (lose time) at a certain rate. You must calculate the actual time when the clock shows a given time, or find how much the clock will gain/lose over a period.
Prerequisites
How to Solve Clock Gains Loses Problems
Step 1: Identify the gain/loss rate (e.g., 5 minutes per hour)
Step 2: Determine the time duration the clock has been running
Step 3: Calculate total gain/loss = rate × duration
Step 4: Add gain (or subtract loss) from the shown time to get actual time
Step 5: For reverse problems, set up proportion: actual time elapsed = shown time elapsed × (60/(60 ± rate))
Step 6: Normalize to 12-hour format
Step 7: Answer with the calculated actual time or gain/loss amount
Example Problem
Example: A clock gains 5 minutes every hour. If it shows the correct time at 12:00, what time will it show after 6 hours? Solution: Step 1: Rate = +5 minutes per hour Step 2: Duration = 6 hours Step 3: Total gain = 5 × 6 = 30 minutes Step 4: Shown time = 12:00 + 6 hours + 30 minutes = 6:30 Answer: 6:30
Pro Tips & Tricks
- Gains → clock runs fast → shown time > actual time
- Loses → clock runs slow → shown time < actual time
- Rate per hour × hours = total gain/loss in minutes
- For actual time: actual = shown ∓ gain/loss
- For shown time: shown = actual ± gain/loss
- After 24 hours, a clock gaining 5 min/hour shows 24×5=120 min = 2 hours extra
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Clock Gains Loses. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Clock Gains Loses is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Clock Gains Loses?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: