Geeta is going on her moped at a speed of 24 km/hr. How much time will she take to cover 540 metres ?

Answer

To solve the problem of how much time Geeta will take to cover 540 meters at a speed of 24 km/hr, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Speed (S) = 24 km/hr
- Distance (D) = 540 meters

2. **Convert the speed from km/hr to m/s:**
- To convert km/hr to m/s, we use the conversion factor:
\[ 1 \text{ km/hr} = \frac{1000 \text{ meters}}{3600 \text{ seconds}} = \frac{1}{3.6} \text{ m/s} \]
- Therefore, to convert 24 km/hr to m/s:
\[ S = 24 \times \frac{1000}{3600} = 24 \times \frac{5}{18} = \frac{120}{18} = \frac{20}{3} \text{ m/s} \]

3. **Use the formula for time:**
- The formula for time (T) is:
\[ T = \frac{D}{S} \]
- Substitute the values of distance and speed:
\[ T = \frac{540 \text{ meters}}{\frac{20}{3} \text{ m/s}} = 540 \times \frac{3}{20} \]

4. **Calculate the time:**
- Simplify the calculation:
\[ T = \frac{540 \times 3}{20} = \frac{1620}{20} = 81 \text{ seconds} \]

5. **Convert seconds to minutes and seconds:**
- To convert 81 seconds into minutes and seconds:
- 81 seconds = 1 minute and 21 seconds.

### Final Answer:
Geeta will take **81 seconds** or **1 minute and 21 seconds** to cover 540 meters.

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