CAT Conversion between kmph to m/s - Practice Questions & MCQ

Explanation:

To convert units of speed from kilometres per hour (km/h or kmph) to metres per second (m/s) and vice versa is a fundamental skill required for solving problems involving speed.

1 km = 1000 metres

1 hour = 3600 seconds

To convert from kmph to m/s:

Since , the formula becomes:

To convert from m/s to kmph :

Since , the formula becomes:

Foundation Building Questions :

Question: A sprinter runs 100 metres in 10 seconds. What is his speed in kmph?

Solution:

Given speed,

To convert this to kmph :

Answer: The speed of the sprinter is 36 kmph.

Tips and Tricks:

1. Quick Multiplication: Memorise the factors 518 and 185 for swift conversion. They come up frequently, and remembering these values can save time.

2. Units, Units, Units: Always pay attention to the units given in the problem. If speed is in m/s and distance in km, or time in hours, a unit conversion will be required.

3. Application of Previous Concepts: Keeping in mind relationships like S = DT and understanding proportionality concepts can be vital when problems combine different aspects of the Time, Speed, and Distance chapter.

4. Practice with Real-World Examples: Think about real-world situations where you might need to convert speeds, like when comparing the speed of a car on the highway (often in kmph) to the speed of a person jogging (which could be more naturally thought of in m/s).

Understanding unit conversion is a foundational skill in many quantitative problems, not just in time, speed, and distance scenarios. Ensure you're comfortable with these conversions, and practice often to ensure swift and accurate calculations during exams.