A cyclist moving at a speed of 20 km/hr crosses a bridge in 2 minutes. What is the length of the bridge?

Options

A. 666.6 m
B. 777.7 m
C. 444.4 m
D. 555.5 m

Answer

To find the length of the bridge that the cyclist crosses, we can follow these steps:

### Step 1: Convert the speed from km/hr to meters per minute.
- The speed of the cyclist is given as 20 km/hr.
- To convert kilometers to meters, we multiply by 1000 (since 1 km = 1000 m).
- To convert hours to minutes, we multiply by 60 (since 1 hour = 60 minutes).

So, the conversion can be done as follows:
\[ \text{Speed in m/min} = 20 \, \text{km/hr} \times \frac{1000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{hr}}{60 \, \text{min}} = \frac{20000}{60} \, \text{m/min} \]
\[ \text{Speed in m/min} = \frac{20000}{60} \approx 333.33 \, \text{m/min} \]

### Step 2: Calculate the time taken in minutes.
- The time taken to cross the bridge is given as 2 minutes.

### Step 3: Use the formula for distance.
- The formula for distance is given by:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

### Step 4: Substitute the values into the formula.
- Now we can substitute the speed and time into the distance formula:
\[ \text{Distance} = 333.33 \, \text{m/min} \times 2 \, \text{min} = 666.66 \, \text{m} \]

### Step 5: Round the result.
- The length of the bridge can be approximated to 666.67 meters.

### Final Answer:
The length of the bridge is approximately **666.67 meters**.

---