Explanation:

- Two people, A and B, are running towards each other.

- They are initially 1.7 km apart.

- Convert distance to meters: \(1.7 \text{ km} = 1700 \text{ m}\).

- A's speed is 8 m/s and B's speed is 9 m/s.

- Determine their combined speed: \(8 + 9 = 17 \text{ m/s}\).

- Calculate the time to meet using the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{1700 \text{ m}}{17 \text{ m/s}} = 100 \text{ seconds}\).

- Explanation of options:

- Option 1: 1 minute 4 seconds = 64 seconds, which is too short.

- Option 2: 14 seconds, which is too short.

- Option 3: 14 minutes = 840 seconds, which is too long.

- Option 4: 1 minute 40 seconds = 100 seconds, which is correct.