Question

Решить задачу тремя способами. Лика и Майя бегают по утрам вокруг школы по беговой дорожке длиной 90м. Лика пробегает 8 кругов, а Майя 5 кругов.На сколько метров Лика пробегает каждое утро больше чем Майя?

Answer 1

1.)90 м х 8=720 м -пробегает Лика.
2)90 м. х5 =450 м-пробегает Майя.
3)720-450=270 м(на это расстояние Лика пробегает больше Майи).
ответ: на 270 м.

Answer 2

Problem Analysis

The problem states that Lika and Maya run around a school track in the mornings. The track is 90 meters long. Lika runs 8 laps, while Maya runs 5 laps. We need to determine how many meters Lika runs more than Maya each morning.

Solution 1: Direct Calculation

To find the difference in the distances run by Lika and Maya, we can calculate the total distance covered by each of them and then subtract Maya's distance from Lika's distance.

Lika's distance = 8 laps * 90 meters/lap = 720 meters Maya's distance = 5 laps * 90 meters/lap = 450 meters

The difference in distance is 720 meters - 450 meters = 270 meters.

Therefore, Lika runs 270 meters more than Maya each morning.

Solution 2: Using Ratios

Another way to solve this problem is by using ratios. We can find the ratio of the number of laps run by Lika and Maya and then multiply it by the length of one lap to find the difference in distance.

Lika's laps = 8 laps Maya's laps = 5 laps

The ratio of Lika's laps to Maya's laps is 8:5.

To find the difference in distance, we can multiply this ratio by the length of one lap: Difference in distance = (8/5) * 90 meters = 144 meters

Therefore, Lika runs 144 meters more than Maya each morning.

Solution 3: Using Proportions

We can also solve this problem using proportions. We can set up a proportion between the number of laps run by Lika and Maya and the total distance covered by each of them.

Lika's laps / Maya's laps = Lika's distance / Maya's distance

Substituting the given values: 8 / 5 = Lika's distance / 450 meters

Solving for Lika's distance: Lika's distance = (8 / 5) * 450 meters = 720 meters

The difference in distance is 720 meters - 450 meters = 270 meters.

Therefore, Lika runs 270 meters more than Maya each morning.

Conclusion

In conclusion, Lika runs 270 meters more than Maya each morning when they run around the 90-meter school track. This can be calculated using direct calculation, ratios, or proportions.