A red car covers distance of 200m in 20 seconds and blue car covers the distance of 20km in 20 minutes. Which car has the greater speed?

Options

A. Red car
B. Blue car
C. Both have equal speed
D. All of these

Answer

To determine which car has the greater speed, we need to calculate the speed of both the red car and the blue car using the formula for speed:

**Speed (s) = Distance (d) / Time (t)**

### Step 1: Calculate the speed of the red car
1. **Distance covered by the red car (d_red)**: 200 meters
2. **Time taken by the red car (t_red)**: 20 seconds

Using the formula for speed:
\[ s_{red} = \frac{d_{red}}{t_{red}} = \frac{200 \text{ m}}{20 \text{ s}} \]

Calculating this gives:
\[ s_{red} = 10 \text{ m/s} \]

### Step 2: Calculate the speed of the blue car
1. **Distance covered by the blue car (d_blue)**: 20 kilometers
- Convert kilometers to meters:
\[ d_{blue} = 20 \text{ km} = 20,000 \text{ m} \]
2. **Time taken by the blue car (t_blue)**: 20 minutes
- Convert minutes to seconds:
\[ t_{blue} = 20 \text{ min} \times 60 \text{ s/min} = 1200 \text{ s} \]

Using the formula for speed:
\[ s_{blue} = \frac{d_{blue}}{t_{blue}} = \frac{20,000 \text{ m}}{1200 \text{ s}} \]

Calculating this gives:
\[ s_{blue} = \frac{20,000}{1200} = \frac{100}{6} \approx 16.67 \text{ m/s} \]

### Step 3: Compare the speeds
- Speed of the red car: \(10 \text{ m/s}\)
- Speed of the blue car: \(16.67 \text{ m/s}\)

### Conclusion
The blue car has a greater speed than the red car.

### Final Answer
The blue car is faster.

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