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

Options

A. `3:5`
B. `3:4`
C. `1 :2`
D. `4 : 5`

Explanation

To solve the problem step by step, we need to calculate the speeds of both the truck and the car, and then find the ratio of their speeds.

### 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:
\[ \text{Speed of truck} = \frac{360 \text{ km}}{8 \text{ hours}} = 45 \text{ km/h} \]

### Step 2: Calculate the speed of the car
Using the same formula for the car:
- Distance = 360 km
- Time = 6 hours

Using the formula:
\[ \text{Speed of car} = \frac{360 \text{ km}}{6 \text{ hours}} = 60 \text{ km/h} \]

### Step 3: Find the ratio of the speeds
Now, we need to find the ratio of the speed of the truck to the speed of the car:
\[ \text{Ratio} = \frac{\text{Speed of truck}}{\text{Speed of car}} = \frac{45 \text{ km/h}}{60 \text{ km/h}} \]

### Step 4: Simplify the ratio
To simplify the ratio:
\[ \frac{45}{60} = \frac{3}{4} \]
Thus, the ratio of the speed of the truck to the speed of the car is \(3:4\).

### Final Answer
The respective ratio between the speed of the truck and the car is \(3:4\).

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