If we denote speed by S, distance by D and time by T, the relationship between these quantities is

Options

A. `S=DxxT`
B. `T=(S)/(D)`
C. T=D/S
D. S=D-T

Answer

To find the relationship between speed (S), distance (D), and time (T), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Definitions**:
- Speed (S) is defined as the distance traveled per unit time.
- Distance (D) is the total path covered.
- Time (T) is the duration taken to cover that distance.

2. **Using the Formula for Speed**:
- The basic formula relating these quantities is:
\[ S = \frac{D}{T} \]
- This means that speed is equal to distance divided by time.

3. **Rearranging the Formula**:
- To find time in terms of distance and speed, we can rearrange the formula:
\[ T = \frac{D}{S} \]
- This shows that time is equal to distance divided by speed.

4. **Identifying the Correct Option**:
- From the rearranged formula, we see that the correct relationship is:
\[ T = \frac{D}{S} \]
- This corresponds to option 3 in the provided choices.

### Conclusion:
The relationship between speed (S), distance (D), and time (T) is given by the formula:
\[ T = \frac{D}{S} \]
Thus, the correct answer is option 3.