Explanation:

Let’s break it down:

- The speeds of A and B are in the ratio 5:6. So for every 5 meters A runs, B runs 6 meters in the same time.

- The total race is 1.2 km, which is 1200 meters.

- B gives A a 70-meter head start, so A only has to run 1130 meters, while B runs the full 1200 meters.

- Now, let’s see how far they each get by the time A finishes:

- Time taken by A to run 1130 meters = distance/speed = 1130/5x

- In that same time, distance B covers = speed × time = 6x × (1130/5x) = 1356 meters

- But B only needs to run 1200 meters. So, by the time A finishes, B would have actually finished and gone ahead:

- By how much? 1356 - 1200 = 156 meters (but we actually want how much B beats A by at the finish)

- Alternatively, let’s see when B finishes 1200 meters:

- Time taken by B = 1200/6x = 200/x

- In that time A covers = 5x × (200/x) = 1000 meters

- Since A started at 70 meters, total distance A covers by then = 1000 meters (so, 70 m start + 1000 = 1070)

- So, A is at 1070 meters when B finishes at 1200 meters.

- Therefore, B beats A by 1200 - 1070 = 130 meters

- Now, here’s what that means with the answer choices:

- Option 1: A wins by 30m – that’s off.

- Option 2: B wins by 200m – too much.

- Option 3: B wins by 130m – that lines up.

- Option 4: A dead heat – nope.

- Correct answer: Option 3 – B wins by 130 meters.