If a man takes 4 hours to cover a distance of 15 km how much time will be needed to cover 63 km at the same speed

Options

A. 12 hrs.36 min
B. 16 hrs.48 min
C. 16 hrs.4 min
D. 15 hrs.32 min

Answer

To solve the problem, we need to determine how much time it will take to cover 63 km at the same speed that the man used to cover 15 km in 4 hours.

### Step-by-Step Solution:

1. **Calculate the speed of the man:**
- Speed is calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
- Here, the distance is 15 km and the time is 4 hours.
- So, the speed is:
\[ \text{Speed} = \frac{15 \text{ km}}{4 \text{ hours}} = 3.75 \text{ km/hour} \]

2. **Determine the time needed to cover 63 km:**
- We will use the same speed to find out how long it will take to cover 63 km.
- Using the formula for time:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
- Here, the distance is 63 km and the speed is 3.75 km/hour.
- So, the time required is:
\[ \text{Time} = \frac{63 \text{ km}}{3.75 \text{ km/hour}} = 16.8 \text{ hours} \]

3. **Convert the time from hours to hours and minutes:**
- The decimal 0.8 hours needs to be converted into minutes.
- Since 1 hour = 60 minutes, we calculate:
\[ 0.8 \text{ hours} \times 60 \text{ minutes/hour} = 48 \text{ minutes} \]
- Therefore, 16.8 hours can be expressed as:
\[ 16 \text{ hours} \, 48 \text{ minutes} \]

### Final Answer:
The time needed to cover 63 km at the same speed is **16 hours and 48 minutes**.

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