Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

12) at the halfway point in 2:01.7, and with one lap to go she had run …

Question

  1. at the halfway point in 2:01.7, and with one lap to go she had run 3:01.84. faith kipyegon was on track to

break the one mile world record under four minutes
was not on pace to break the one-mile world record under four minutes

Explanation:

Brief Explanations

To determine this, we analyze the time. The halfway point (half a mile) was 2:01.7, so for a full mile, doubling that time would be 4:03.4. But with one lap (quarter mile) to go, she had run 3:01.84. A full mile has four laps. If half a mile (2 laps) is 2:01.7, then each lap average so far for the first 3 laps (since one lap to go means 3 laps done) – wait, actually, the halfway point (2 laps) is 2:01.7, so per lap average for first 2 laps is 1:00.85. Then, with one lap to go (so 3 laps done), total time 3:01.84. Let's check the time for the third lap: 3:01.84 - 2:01.7 = 1:00.14. So the first three laps have times around 1:00.85, 1:00.85, and 1:00.14. Now, the fourth lap: if we assume she runs at least as fast as the third lap (1:00.14), total time would be 3:01.84 + 1:00.14 = 4:01.98, which is over 4 minutes? Wait, no, maybe miscalculation. Wait, the halfway point (half mile) is 2:01.7, so to break 4 minutes for a mile, the total time needs to be under 4:00.00. If halfway is 2:01.7, that's already more than 2:00.00 (half of 4:00.00). So 2:01.7 for half a mile means the full mile would be at least 4:03.4 (doubling 2:01.7), which is over 4 minutes. Wait, but the option says "break the one mile world record under four minutes" – but if halfway is 2:01.7, which is more than 2:00 (half of 4:00), then even if she runs the second half faster, she can't get under 4:00? Wait, no, maybe the "halfway point in 2:01.7" – maybe the race is a mile, so halfway is 800 meters (half a mile). The world record for a mile under four minutes – the current mile world record is around 3:49, but the question is about being on track to break under four minutes. Wait, if at halfway (800m) she has 2:01.7, then to run a mile (1600m) under 4:00, she needs the second 800m to be under 1:58.3 (since 4:00 - 2:01.7 = 1:58.3). But with one lap to go (a lap in a mile race is 400m, so one lap to go means 1200m done, 400m left). Wait, maybe the problem's wording is: at the halfway point (800m) in 2:01.7, and with one lap (400m) to go (so 1200m done) she had run 3:01.84. So from 800m to 1200m (400m), the time taken is 3:01.84 - 2:01.7 = 1:00.14. Then the last 400m: if she runs that in, say, under 58.16 seconds (since 4:00 - 3:01.84 = 58.16 seconds), but 400m in 58 seconds is extremely fast (world record for 400m is around 43 seconds, but in a mile race, the last 400m is usually faster, but 2:01.7 at 800m is slow for a sub-4 mile. Wait, actually, a sub-4 mile requires the first 800m to be around 1:59 or faster. Since her first 800m is 2:01.7, which is slower than 1:59, she can't make up the time to get under 4:00. Wait, but the first option is "break the one mile world record under four minutes" – but actually, the world record is already under four minutes (current is ~3:49), but the question is about being on track to run under four minutes. Wait, maybe the problem has a typo, but based on the times: halfway (800m) 2:01.7, so 800m in 121.7 seconds. A mile is 1600m, so to do 1600m under 240 seconds, the second 800m needs to be under 240 - 121.7 = 118.3 seconds (1:58.3). But at 1200m (3/4 mile), she has 181.84 seconds. So from 800m to 1200m (400m), she took 181.84 - 121.7 = 60.14 seconds (1:00.14). So the last 400m (from 1200m to 1600m) would need to be under 240 - 181.84 = 58.16 seconds, which is very fast (400m world record is ~43 seconds, but in a mile race, the last 400m is part of the race, but 2:01.7 at 800m is too slow to get under 4:00. Wait, but maybe the "halfway point in 2:01.7" – maybe the race is a mile, so halfway is 4 laps? No, a mile is 4 laps of 400m. So ha…

Answer:

was not on pace to break the one-mile world record under four minutes