CLOCK | ക്ലോക്ക് | Part-1 | For PSC | SSC | RRB Exams | For 10th, 12th & Degree Level Exams

Introduction

This tutorial will guide you through understanding clock-related problems, essential for competitive exams like PSC, SSC, and RRB. By mastering these concepts, you will enhance your problem-solving skills and improve your performance in exams.

Step 1: Understanding the Basics of a Clock

• Components of a Clock: Familiarize yourself with the main parts of a clock, including the hour hand, minute hand, and second hand.
• Time Representation: Learn how to read time accurately. The hour hand moves slowly, while the minute hand moves faster, completing a full circle in 60 minutes.
• Degrees in a Clock: A clock is divided into 12 hours, with each hour representing 30 degrees (360 degrees/12 hours).

Step 2: Calculating Angles Between Clock Hands

• Formula: Use the formula to calculate the angle between the hour and minute hands: [ \text{Angle} = |(30 \times \text{Hour} - (11/2) \times \text{Minutes})| ]
• Example Calculation:
  • For 3:15:
    • Hour = 3
    • Minutes = 15
    • Plugging into the formula: [ \text{Angle} = |(30 \times 3 - (11/2) \times 15)| = |90 - 82.5| = 7.5 \text{ degrees} ]

Step 3: Concept of Time Gained or Lost

• Time Gained or Lost: Understand how the speed of the clock affects time. For instance, if a clock runs fast, it gains time; if it runs slow, it loses time.
• Practical Application: If a clock is set 5 minutes fast, it will show 5 minutes more than the actual time.

Step 4: Solving Time and Work Problems

• Basic Concept: Time taken by each hand to complete a full rotation (60 minutes for the minute hand and 12 hours for the hour hand).
• Example Problem: If a clock is losing 2 minutes every hour, calculate how much time it will show after 6 hours.
  • Calculation:
    • In 6 hours, the clock will lose (6 \times 2 = 12) minutes.
    • Actual time = 6 hours, clock time = 5 hours and 48 minutes.

Step 5: Finding the Next Meeting Point of Hands

• Understanding Meeting Points: The hands of the clock meet multiple times in an hour.
• Frequency of Meetings: The hands meet approximately every 65.5 minutes.
• Example: Determine when the hands meet after 12:00.
  • The first meeting occurs at approximately 12:05.

Conclusion

Mastering clock problems is crucial for excelling in competitive exams. Remember to practice calculating angles, understanding time discrepancies, and solving related problems. For further practice, consider joining online study groups or forums. Stay tuned for more tutorials to enhance your skills in this subject.