A truck covered a distance of 360km in 8 hours. A car covers the same distance in 6 hours. what is the ratio of speed of the truck and the car?

Options

A. a. 3:5
B. b. 3:4
C. c. 1:2
D. d. 4:5

Answer

To find the ratio of the speed of the truck and the car, we will follow these steps:

### Step 1: Calculate the speed of the truck
The formula for speed is given by:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

For the truck:
- Distance = 360 km
- Time = 8 hours

Using the formula:
\[ \text{Speed of the truck} = \frac{360 \text{ km}}{8 \text{ hours}} \]

### Step 2: Simplify the speed of the truck
Now, we simplify the calculation:
\[ \text{Speed of the truck} = \frac{360}{8} = 45 \text{ km/h} \]

### Step 3: Calculate the speed of the car
Now, we will calculate the speed of the car using the same formula.

For the car:
- Distance = 360 km
- Time = 6 hours

Using the formula:
\[ \text{Speed of the car} = \frac{360 \text{ km}}{6 \text{ hours}} \]

### Step 4: Simplify the speed of the car
Now, we simplify the calculation:
\[ \text{Speed of the car} = \frac{360}{6} = 60 \text{ km/h} \]

### Step 5: Find the ratio of the speeds
Now that we have both speeds, we can find the ratio of the speed of the truck to the speed of the car:
\[ \text{Ratio} = \frac{\text{Speed of the truck}}{\text{Speed of the car}} = \frac{45 \text{ km/h}}{60 \text{ km/h}} \]

### Step 6: Simplify the ratio
To simplify the ratio:
\[ \text{Ratio} = \frac{45}{60} \]

We can divide both numbers by their greatest common divisor, which is 15:
\[ \text{Ratio} = \frac{45 \div 15}{60 \div 15} = \frac{3}{4} \]

### Final Answer
The ratio of the speed of the truck to the speed of the car is:
\[ \text{Ratio} = 3 : 4 \]

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