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The problem asks to compare the speed of a motorcycle and a bicycle given the following information:

1. A distance of 10 km is covered in 2 hours using the motorcycle.
2. A distance of 100 m is covered in 2 minutes using the bicycle.

We will find the speed of both the motorcycle and the bicycle and then calculate their ratio.

### Step-by-Step Calculation:

#### 1. Speed of the motorcycle:
- Distance = 10 km = 10,000 meters
- Time = 2 hours = 2 × 60 × 60 seconds = 7,200 seconds

Speed (motorcycle) = \(\frac{\text{Distance}}{\text{Time}} = \frac{10,000 \, \text{m}}{7,200 \, \text{s}}\)

#### 2. Speed of the bicycle:
- Distance = 100 meters
- Time = 2 minutes = 2 × 60 seconds = 120 seconds

Speed (bicycle) = \(\frac{\text{Distance}}{\text{Time}} = \frac{100 \, \text{m}}{120 \, \text{s}}\)

#### 3. Ratio of the speeds:
To find the ratio of the motorcycle speed to the bicycle speed, divide the speed of the motorcycle by the speed of the bicycle.

Let me now calculate the exact values.The speed calculations are as follows:

1. Speed of the motorcycle: \(1.39 \, \text{m/s}\)
2. Speed of the bicycle: \(0.83 \, \text{m/s}\)

The ratio of the motorcycle speed to the bicycle speed is approximately 1.67.

This means the motorcycle is about 1.67 times faster than the bicycle.

Would you like any further details or have any questions?

Here are 5 related questions:
1. How would the ratio change if the motorcycle traveled for 3 hours instead of 2?
2. What would happen to the speeds if the distances were halved?
3. How long would it take the bicycle to cover 1 km at the current speed?
4. Can we express the speed in kilometers per hour (km/h) for both?
5. How would air resistance affect the speeds of both the bicycle and motorcycle?

**Tip:** When converting between different units, always ensure that both speed and time are consistent (e.g., meters with seconds or kilometers with hours).

Berapakah perbandingan kecepatan antara motor dan sepeda jika diketahui jarak 10 km dapat ditempuh dalam waktu 2 jam dengan menggunakan motor dan jarak 100 m dapat ditempuh dalam waktu 2 menit dengan menggunakan sepeda?

Pelajari cara menghitung perbandingan kecepatan antara motor dan sepeda, di mana motor menempuh 10 km dalam waktu 2 jam, dan sepeda menempuh 100 m dalam waktu 2 menit. Pembahasan ini meliputi konsep kecepatan, rasio, dan konversi satuan. Cocok untuk siswa kelas 6-8.

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