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The question in the image asks:

**Q23.** A car moving at a speed of 50 kmph takes 3 hours to cover a certain distance. If the speed is increased to 75 kmph, how much time will it take to cover the same distance?

### Step-by-step solution:

1. **Calculate the distance**:  
   Distance = Speed × Time = \(50 \, \text{kmph} \times 3 \, \text{hours} = 150 \, \text{km}\)

2. **Calculate the time at the new speed**:  
   Time = Distance ÷ Speed = \(150 \, \text{km} ÷ 75 \, \text{kmph} = 2 \, \text{hours}\)

So, the correct answer is:
- **Option (C) 2 hours**

Would you like further details or explanations? Here are some related questions to explore:

1. What is the formula to calculate time, distance, and speed?
2. How does doubling the speed affect travel time for a fixed distance?
3. If the car traveled at 100 kmph, how much time would it take for the same distance?
4. What would happen if the speed was reduced to 25 kmph for the same distance?
5. How do different speeds impact fuel efficiency over long distances?

**Tip:** Always remember to check units when working with speed, time, and distance problems to avoid confusion.

A car moving at a speed of 50 kmph takes 3 hours to cover a certain distance. If the speed is increased to 75 kmph, how much time will it take to cover the same distance?

This problem involves calculating the time it takes for a car to cover a fixed distance at different speeds. Learn how to use the formulas for speed, distance, and time with a detailed step-by-step solution. Suitable for students in Grades 6-8.

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