Question

Зелёная и синяя лягушка находились на расстоянии 2015 метров друг от друга. Ровно в 12 часов дня зелёная лягушка прыгнула навстречу синей на 9 метров. Через минуту синяя лягушка прыгает на встречу зелёной на 8 метров. Ещё через минуту зелёная лягушка снова прыгает на 9 метров, и так далее. В какое время лягушки встретятся?(каждый прыжок происходит мгновенно)

Answer 1

За 2 минуты лягушки проходят 9+7=17 метров
2015:17 =118 целых 9/17
значит 118 прыжков сделают лягушки за 118*2=236 минут
и пропрыгают при этом 118*17=2006 метров
останется еще 9 метров, на которые затратится еще 1 минута
значит общее время 236+1=237минут
237 минут = 3 часа 57 минут
12часов + 3 часа 57 минут = 15 часов 57 минут

Answer 2

Problem Analysis

We are given that a green frog and a blue frog are initially 2015 meters apart. The green frog jumps towards the blue frog, covering a distance of 9 meters, and then the blue frog jumps towards the green frog, covering a distance of 8 meters. This pattern continues, with each frog jumping towards the other and covering a distance of 9 meters and 8 meters, respectively, every minute. We need to determine at what time the frogs will meet.

Solution

To solve this problem, we can calculate the time it takes for the frogs to meet by dividing the initial distance between them by the total distance covered by both frogs in one minute. Let's calculate this step by step.

1. Calculate the total distance covered by both frogs in one minute: - The green frog covers 9 meters. - The blue frog covers 8 meters. - Therefore, the total distance covered by both frogs in one minute is 9 + 8 = 17 meters.

2. Calculate the time it takes for the frogs to meet: - Divide the initial distance between the frogs (2015 meters) by the total distance covered by both frogs in one minute (17 meters). - The result is the number of minutes it takes for the frogs to meet: 2015 / 17 = 118.52941176470588 minutes.

3. Convert the fractional part of the minutes to seconds: - Multiply the fractional part (0.52941176470588) by 60 to convert it to seconds: 0.52941176470588 * 60 = 31.76470588235294 seconds.

4. Calculate the final meeting time: - The frogs meet after 118 minutes and 31 seconds.

Therefore, the frogs will meet approximately 118 minutes and 31 seconds after they start jumping towards each other.

Please note that the above calculations are approximate and may not account for factors such as the exact speed of the frogs or any external influences.