Convert each of the following speeds into m/sec :
315 km/hr

Answer

To convert the speed of 315 km/hr into meters per second (m/sec), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factors**:
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds (since 1 hour = 60 minutes and 1 minute = 60 seconds, thus 60 * 60 = 3600 seconds)

2. **Set Up the Conversion**:
- We want to convert 315 kilometers per hour to meters per second.
- We can write this as:
\[ 315 \text{ km/hr} = 315 \times \frac{1000 \text{ meters}}{1 \text{ km}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \]

3. **Perform the Calculation**:
- Substitute the values into the equation:
\[ 315 \times \frac{1000}{3600} \]
- Simplifying this gives:
\[ 315 \times \frac{1000}{3600} = 315 \times \frac{10}{36} \]
- Further simplifying:
\[ 315 \times \frac{10}{36} = 315 \times \frac{5}{18} = \frac{315 \times 5}{18} \]

4. **Calculate the Final Value**:
- Now, calculate \( 315 \times 5 = 1575 \)
- Then divide by 18:
\[ \frac{1575}{18} = 87.5 \]

5. **Final Answer**:
- Therefore, the speed of 315 km/hr is equal to **87.5 m/sec**.