Question

Когда Ира вышла из дома в школу, Юля была на 240 м впереди нее. Через сколько минут Ира догонит Юлю, если будет идти со скоростью 80 км/ч, а Юля идет со скоростью 60км/ч? На каком расстоянии от дома Ира догонит Юлю?

Answer 1

1) 80 - 60 = 20 м/мин. - с такой скоростью Ира догоняет Юлю
2) 240 : 20 = 12 мин. - Ира догонит Юлю
3) 80 * 12 = 960 м - на таком расстоянии от дома Ира догонит Юлю. 
P.S. в условии, видимо, ошибка в записи - скорость девочек не км/ч, а м/мин.

Answer 2

Problem Analysis

We are given that when Ira left home for school, Yulia was 240 meters ahead of her. We are also given the speeds at which they are walking: Ira at 80 km/h and Yulia at 60 km/h. We need to determine how many minutes it will take for Ira to catch up to Yulia and at what distance from home this will occur.

Calculating the Time to Catch Up

To calculate the time it will take for Ira to catch up to Yulia, we can use the formula: time = distance / speed. Since we are given the speeds in km/h, we need to convert the distance from meters to kilometers.

Let's calculate the time it will take for Ira to catch up to Yulia:

1. Convert the distance from meters to kilometers: 240 meters = 0.24 kilometers. 2. Calculate the time using the formula: time = distance / speed. - For Ira: time = 0.24 km / 80 km/h = 0.003 hours. - Convert hours to minutes: 0.003 hours * 60 minutes/hour = 0.18 minutes.

Therefore, it will take Ira approximately 0.18 minutes to catch up to Yulia.

Calculating the Distance from Home

To calculate the distance from home at which Ira will catch up to Yulia, we can multiply the time it takes for Ira to catch up by her speed.

Let's calculate the distance from home at which Ira will catch up to Yulia:

1. Calculate the distance using the formula: distance = speed * time. - For Ira: distance = 80 km/h * 0.003 hours = 0.24 kilometers.

Therefore, Ira will catch up to Yulia at a distance of approximately 0.24 kilometers from home.

Summary

- It will take Ira approximately 0.18 minutes to catch up to Yulia. - Ira will catch up to Yulia at a distance of approximately 0.24 kilometers from home.

Please note that the calculations provided are based on the given information and assumptions made.