Question

Петя и пять его одноклассников стартовали одновременно в забеге на 100 метров, и Петя пришёл первым. Через 9 секунд после начала забега никто ещё не финишировал, и все его участники в сумме пробежали 290 метров. А когда Петя закончил бег, остальным пяти участникам оставалось пробежать до финиша в сумме 100 метров. Сколько метров пробежал Петя за 9 секунд?

Answer 1

Все вместе бегут 6*100=600м
290/9 м/с- совместная скорость

600-290-100=600-390=210м пробежали до финиша Пети

210:290/9=210*9/290=21*9/29=189/29 сек-бежали до финиша Пети

9+189/29=261/29+189/29= 450/29 сек бежал Петя
100:450/29=100*29/450=2*29/9=58/9= 6 4/9 м/с-скорость Пети

58/9*9=58м пробежал Петя за 9 сек

Answer 2

Problem Analysis

We are given the information that Peter (Петя) and five of his classmates started a race simultaneously. Peter finished first, and after 9 seconds from the start of the race, no one else had finished yet. The total distance covered by all participants was 290 meters. When Peter finished the race, the remaining five participants had a total of 100 meters left to run. We need to determine how many meters Peter ran in 9 seconds.

Solution

Let's break down the information given and solve the problem step by step:

1. Peter finished the race first, so he covered the entire distance of 100 meters before anyone else finished. 2. After 9 seconds, no one else had finished the race, and the total distance covered by all participants was 290 meters. 3. This means that the remaining five participants covered a total distance of 290 - 100 = 190 meters in 9 seconds. 4. To find out how many meters Peter ran in 9 seconds, we need to subtract the distance covered by the remaining five participants from the total distance covered by all participants. 5. Therefore, Peter ran 290 - 190 = 100 meters in 9 seconds.

Answer: Peter ran 100 meters in 9 seconds.

Conclusion

Peter ran 100 meters in 9 seconds. This conclusion is based on the given information that Peter finished the race first, and after 9 seconds, no one else had finished yet. The total distance covered by all participants was 290 meters, and when Peter finished, the remaining five participants had a total of 100 meters left to run.