The ratio of speeds, of a Bus and Car is 6:7. If car covers 364 km distance in 4 hours, what is the speed of Bus?

Options

A. 60 km/h
B. 72 km/h
C. 78 km/h
D. 84 km/h

Answer

To find the speed of the bus, we can follow these steps:

### Step 1: Determine the speed of the car
We know that speed is calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Given that the car covers a distance of 364 km in 4 hours, we can calculate the speed of the car as follows:
\[ \text{Speed of Car} = \frac{364 \text{ km}}{4 \text{ hours}} = 91 \text{ km/h} \]

### Step 2: Understand the ratio of speeds
The ratio of the speeds of the bus and the car is given as 6:7. This means:
- Speed of Bus = 6x
- Speed of Car = 7x

### Step 3: Set up the equation
From Step 1, we found that the speed of the car is 91 km/h. Therefore, we can set up the equation:
\[ 7x = 91 \]

### Step 4: Solve for x
To find the value of x, we divide both sides of the equation by 7:
\[ x = \frac{91}{7} = 13 \]

### Step 5: Find the speed of the bus
Now that we have the value of x, we can find the speed of the bus:
\[ \text{Speed of Bus} = 6x = 6 \times 13 = 78 \text{ km/h} \]

### Final Answer
The speed of the bus is **78 km/h**.

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