The speed of a truck is `(1)/(3)` rd the speed of a train . The train covers 1230 km is 5 hours . What is the speed of the truck ?

Options

A. 85 km/hr
B. 82km/hr
C. 81 km/hr
D. 87 km/hr

Explanation

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

### Step 1: Calculate the speed of the train
The speed of the train can be calculated using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Given that the train covers a distance of 1230 km in 5 hours, we can substitute these values into the formula:
\[ \text{Speed of the train} = \frac{1230 \text{ km}}{5 \text{ hours}} \]

### Step 2: Perform the division
Now, we will perform the division to find the speed of the train:
\[ \text{Speed of the train} = \frac{1230}{5} = 246 \text{ km/h} \]

### Step 3: Calculate the speed of the truck
According to the problem, the speed of the truck is \( \frac{1}{3} \) of the speed of the train. Therefore, we can calculate the speed of the truck as follows:
\[ \text{Speed of the truck} = \frac{1}{3} \times \text{Speed of the train} \]
\[ \text{Speed of the truck} = \frac{1}{3} \times 246 \text{ km/h} \]

### Step 4: Perform the multiplication
Now, we will perform the multiplication to find the speed of the truck:
\[ \text{Speed of the truck} = \frac{246}{3} = 82 \text{ km/h} \]

### Final Answer
The speed of the truck is **82 km/h**.

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