The distance by road between two towns A and B, is 216km , by rail it is 208 km. If car travels at a speed of x km/h, and train travel at a speed which is 16 km/h fastest than the car.Calculate `(i)` The time taken by the car, to reach town B from A, in terms of x.

Answer

To solve the problem, we need to calculate the time taken by the car to travel from town A to town B in terms of its speed \( x \) km/h.

### Step-by-Step Solution:

1. **Identify the Distance**:
The distance between towns A and B by road is given as 216 km.

2. **Identify the Speed of the Car**:
The speed of the car is given as \( x \) km/h.

3. **Use the Formula for Time**:
The formula to calculate time is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

4. **Calculate the Time Taken by the Car**:
Using the distance of 216 km and the speed of the car \( x \) km/h, we can substitute these values into the formula:
\[ \text{Time taken by the car} = \frac{216 \text{ km}}{x \text{ km/h}} = \frac{216}{x} \text{ hours} \]

5. **Final Expression**:
Therefore, the time taken by the car to reach town B from A in terms of \( x \) is:
\[ \frac{216}{x} \text{ hours} \]