Question

Коля шел со скоростью 80 м в минуту и уронил варежку. Таня, находясь от Коли на расстоянии 240м, увидела, что он что-то уронил. Со скоростью 160м в минуту она добежала до варежки, подняла её бросилась за Колей. Сколько времени Таня догоняла Колю? Напишите решение срочно!

Answer 1

240 м : 80 м = 3 минуты         Ответ за 3 минуты Таня Догнала Колю.

Answer 2

Problem Analysis

In this problem, we are given that Kolya is walking at a speed of 80 m/min and drops a glove. Tanya, who is 240 m away from Kolya, sees him drop something and runs to pick up the glove at a speed of 160 m/min. We need to determine how much time it takes for Tanya to catch up with Kolya.

Solution

To solve this problem, we can calculate the time it takes for Tanya to reach the dropped glove and then add that time to the time it takes for Tanya to catch up with Kolya.

Let's calculate the time it takes for Tanya to reach the glove first. The distance between Tanya and the glove is 240 m, and Tanya's speed is 160 m/min. We can use the formula:

Time = Distance / Speed

Substituting the values, we get:

Time to reach glove = 240 m / 160 m/min = 1.5 min

Now, let's calculate the time it takes for Tanya to catch up with Kolya. The distance between Tanya and Kolya is initially 240 m. Since Tanya is moving at a speed of 160 m/min and Kolya is moving at a speed of 80 m/min, Tanya is gaining on Kolya at a rate of 160 m/min - 80 m/min = 80 m/min.

To catch up with Kolya, Tanya needs to cover the initial distance of 240 m. We can use the formula:

Time = Distance / Relative Speed

Substituting the values, we get:

Time to catch up = 240 m / 80 m/min = 3 min

Finally, we can add the time it takes for Tanya to reach the glove (1.5 min) to the time it takes for her to catch up with Kolya (3 min) to get the total time:

Total time = Time to reach glove + Time to catch up = 1.5 min + 3 min = 4.5 min

Therefore, it takes Tanya 4.5 minutes to catch up with Kolya.

Answer

Tanya takes 4.5 minutes to catch up with Kolya.