Question

От дома до школы 1 км и 200 метров Это расстояние Миша проходит за 12 минут, а Серёжа за 15 минут. На сколько метров в минуту должен идти быстрее Серёжа,чтобы затратить на дорогу столько же времени сколько тратит Миша??? помогите

Answer 1

1 км 200 м=1200 м
12001:5=80 ( м/мин) скорость сережи
1200:12=100 (м/мин )скорось миши
100-80=20 м/мин на столько метров в минуту должен быстрее идти сережа чтобы затратить на дорогу столько же времени что тратит миша

Answer 2

Problem Analysis

To solve this problem, we need to find out how many meters per minute Seryozha should walk faster in order to spend the same amount of time on the road as Misha. We are given that the distance from home to school is 1 kilometer and 200 meters, and Misha takes 12 minutes to cover this distance, while Seryozha takes 15 minutes.

Solution

To find out how many meters per minute Seryozha should walk faster, we can calculate the speed of each person and then compare them.

Let's start by calculating the speed of Misha and Seryozha.

Misha's speed can be calculated by dividing the distance he covers by the time he takes: - Distance covered by Misha: 1 kilometer + 200 meters = 1200 meters - Time taken by Misha: 12 minutes - Speed of Misha: 1200 meters / 12 minutes = 100 meters per minute

Similarly, we can calculate the speed of Seryozha: - Distance covered by Seryozha: 1 kilometer + 200 meters = 1200 meters - Time taken by Seryozha: 15 minutes - Speed of Seryozha: 1200 meters / 15 minutes = 80 meters per minute

Now, we need to find out how many more meters per minute Seryozha should walk to spend the same amount of time on the road as Misha.

Let's assume Seryozha needs to walk x meters per minute faster than his current speed.

The time taken by Seryozha to cover the same distance as Misha can be calculated using the formula: - Time taken by Seryozha = Distance covered by Seryozha / (Speed of Seryozha + x)

We want this time to be equal to 12 minutes, so we can set up the equation: - 12 = 1200 / (80 + x)

Now, we can solve this equation to find the value of x.

Calculation

Let's solve the equation to find the value of x:

12 = 1200 / (80 + x)

Multiplying both sides by (80 + x):

12 * (80 + x) = 1200

960 + 12x = 1200

12x = 1200 - 960

12x = 240

x = 240 / 12

x = 20

Answer

Therefore, Seryozha should walk 20 meters per minute faster than his current speed in order to spend the same amount of time on the road as Misha.

Please let me know if I can help you with anything else.