If a driver drives a car 15m/s then how much distance is covered by him in 3 hours 20 mins ?

Options

A. 200km
B. 165km
C. 150km
D. 180km

Answer

To solve the problem of how much distance a driver covers while driving at a speed of 15 m/s for 3 hours and 20 minutes, we can follow these steps:

### Step 1: Convert Speed from m/s to km/h
The speed is given in meters per second (m/s), and we need to convert it to kilometers per hour (km/h) for easier calculations with the time given in hours.

1. **Conversion Formula**:
\[ 1 \text{ m/s} = \frac{3600 \text{ seconds}}{1000 \text{ meters}} \text{ km/h} \]

2. **Calculate the Speed**:
\[ 15 \text{ m/s} = 15 \times \frac{3600}{1000} = 15 \times 3.6 = 54 \text{ km/h} \]

### Step 2: Convert Time from Hours and Minutes to Hours
The time is given as 3 hours and 20 minutes. We need to convert the entire time into hours.

1. **Convert Minutes to Hours**:
\[ 20 \text{ minutes} = \frac{20}{60} \text{ hours} = \frac{1}{3} \text{ hours} \approx 0.333 \text{ hours} \]

2. **Total Time in Hours**:
\[ \text{Total Time} = 3 + \frac{1}{3} = 3.333 \text{ hours} \text{ or } \frac{10}{3} \text{ hours} \]

### Step 3: Calculate Distance
Now that we have the speed in km/h and the time in hours, we can calculate the distance using the formula:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

1. **Substituting the Values**:
\[ \text{Distance} = 54 \text{ km/h} \times \frac{10}{3} \text{ hours} \]

2. **Calculate the Distance**:
\[ \text{Distance} = 54 \times \frac{10}{3} = \frac{540}{3} = 180 \text{ km} \]

### Final Answer
The distance covered by the driver in 3 hours and 20 minutes is **180 kilometers**.

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