To determine how many water stations will be placed along a 12-kilometer race, we first need to convert the distance from kilometers to meters.
1 kilometer is equal to 1,000 meters, so:
\[ 12 \text{ km} = 12 \times 1,000 \text{ m} = 12,000 \text{ m} \]
Now, we need to find out how many 800-meter segments can fit into the total distance of 12,000 meters. This is done by dividing the total distance by the distance between each water station:
\[ \text{Number of segments} = \frac{12,000 \text{ m}}{800 \text{ m}} \]
Calculating that gives:
\[ \frac{12,000}{800} = 15 \]
This means there are 15 segments of 800 meters in the race.
However, we need to consider that a water station is typically placed at the start of the first segment and at the end of each of the subsequent segments. Therefore, we also add 1 for the water station at the start:
\[ \text{Total water stations} = 15 + 1 = 16 \]
Thus, the total number of water stations along the 12-kilometer race is:
\[ \boxed{16} \]
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