A car moving at the speed of 36 km/hr crosses a bridge in 5 minutes. What is the length of the bridge in meters ?

Options

A. (a) 2000 metres
B. (b) 3000 metres
C. (c) 3500 metres
D. (d) 4500 metres

Answer

To find the length of the bridge that a car crosses in 5 minutes while moving at a speed of 36 km/hr, we can follow these steps:

### Step 1: Convert the speed from km/hr to meters per minute
The speed of the car is given as 36 km/hr. We need to convert this speed into meters per minute because the time is given in minutes and we want the length in meters.

1. **Convert kilometers to meters**:
- 1 kilometer = 1000 meters.
- Therefore, 36 km = 36 × 1000 = 36000 meters.

2. **Convert hours to minutes**:
- 1 hour = 60 minutes.
- Therefore, 36 km/hr = 36000 meters / 60 minutes = 600 meters/minute.

### Step 2: Use the formula for distance
The formula for distance is given by:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Here, we have:
- Speed = 600 meters/minute (from Step 1)
- Time = 5 minutes (given in the question)

### Step 3: Calculate the distance (length of the bridge)
Now, we can substitute the values into the distance formula:
\[ \text{Distance} = 600 \, \text{meters/minute} \times 5 \, \text{minutes} \]

Calculating this gives:
\[ \text{Distance} = 600 \times 5 = 3000 \, \text{meters} \]

### Conclusion
The length of the bridge is **3000 meters**.

---