In a race, x gives y a start of 30 m making length of race for y a distance of 170 m. Find the total length of race.

Answer

To solve the problem, we need to determine the total length of the race based on the information given about the start that X gives to Y.

### Step-by-Step Solution:

1. **Understanding the Start Given**:
- X gives Y a start of 30 meters. This means that when the race begins, Y starts 30 meters ahead of the starting line compared to X.

2. **Distance Covered by Y**:
- The problem states that the length of the race for Y is 170 meters. This means that Y will run a total distance of 170 meters to finish the race.

3. **Calculating the Total Length of the Race**:
- Since Y starts 30 meters ahead, the total distance that X has to run to reach the finish line is the distance Y runs (170 meters) plus the 30 meters that Y was ahead.
- Therefore, the total length of the race can be calculated as:
\[ \text{Total Length of Race} = \text{Distance covered by Y} + \text{Start given to Y} \]
\[ \text{Total Length of Race} = 170 \, \text{m} + 30 \, \text{m} = 200 \, \text{m} \]

4. **Final Answer**:
- The total length of the race is 200 meters.

### Summary:
The total length of the race is 200 meters.