A car covers a certain distance at a speed of 54 km/hr in 7 hours. What should be the speed of car to cover the same distance in 6 hours?

Options

A. 72 km/hr
B. 56 km/hr
C. 63 km/hr
D. 54 km/hr

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Identify the given values
- Speed of the car (Speed1) = 54 km/hr
- Time taken (Time1) = 7 hours
- Time to find the new speed (Time2) = 6 hours

### Step 2: Calculate the distance covered using the first speed
We can use the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Using the first speed:
\[ \text{Distance} = 54 \, \text{km/hr} \times 7 \, \text{hours} \]
\[ \text{Distance} = 378 \, \text{km} \]

### Step 3: Set up the equation for the second speed
Let the new speed be Speed2. The distance covered in the second scenario is the same (378 km), and the time taken is 6 hours. We can set up the equation:
\[ \text{Distance} = \text{Speed2} \times \text{Time2} \]
\[ 378 \, \text{km} = \text{Speed2} \times 6 \, \text{hours} \]

### Step 4: Solve for Speed2
To find Speed2, we rearrange the equation:
\[ \text{Speed2} = \frac{378 \, \text{km}}{6 \, \text{hours}} \]
\[ \text{Speed2} = 63 \, \text{km/hr} \]

### Conclusion
The speed of the car needed to cover the same distance in 6 hours is **63 km/hr**.

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