Two men are standing on opposite ends of a bridge 1200 metres long. If they walk towards each other at the rate of 5m/minute and 10m/minute respectively in how much time will they meet each other ?

Options

A. 60 minutes
B. 80 minutes
C. 85 minutes
D. 90 minutes

Answer

To solve the problem of when the two men will meet while walking towards each other on a 1200-meter long bridge, we can follow these steps:

### Step 1: Determine the speeds of both men
- Man A walks at a speed of 5 meters per minute.
- Man B walks at a speed of 10 meters per minute.

### Step 2: Calculate the combined speed
To find out how fast they are closing the distance between them, we add their speeds together:
\[ \text{Combined Speed} = \text{Speed of Man A} + \text{Speed of Man B} = 5 \, \text{m/min} + 10 \, \text{m/min} = 15 \, \text{m/min} \]

### Step 3: Use the formula for time
The formula to calculate time when distance and speed are known is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
In this case, the distance is the length of the bridge, which is 1200 meters, and the combined speed is 15 meters per minute.

### Step 4: Substitute the values into the formula
Now we can substitute the values into the formula:
\[ \text{Time} = \frac{1200 \, \text{meters}}{15 \, \text{m/min}} \]

### Step 5: Calculate the time
Now we perform the division:
\[ \text{Time} = 80 \, \text{minutes} \]

### Conclusion
The two men will meet each other after **80 minutes**.

---