Question

Расстояние от дома до школы Миша прошел за 4 минуты. На обратном пути он увеличил свою скорость на 30 метров в минуту и пробежал это расстояние за 3 минуты. Каково расстояние от дома до школы

Answer 1

1)30*4=120 м пробежал 2)120:3=40 м расстояние от дома до школы

Answer 2

Calculation of the Distance from Home to School

To calculate the distance from home to school, we can use the information provided about Misha's travel time and speed.

According to the given information: - Misha took 4 minutes to walk from home to school. - On the way back, he increased his speed by 30 meters per minute and completed the distance in 3 minutes.

Let's calculate the distance using the formula: distance = speed × time.

1. Distance from home to school: - Time taken: 4 minutes - Speed: Unknown

2. Distance from school to home: - Time taken: 3 minutes - Speed: Increased by 30 meters per minute compared to the previous speed

To find the distance, we need to determine the speed of Misha's walk from home to school. We can do this by setting up an equation using the information provided.

Let's assume the speed of Misha's walk from home to school is x meters per minute.

Using the equation distance = speed × time, we can set up the following equation for Misha's walk from home to school:

x × 4 = distance (Equation 1)

Similarly, for Misha's run from school to home, we can set up the following equation:

(x + 30) × 3 = distance (Equation 2)

To find the distance, we need to solve these two equations simultaneously.

Let's solve the equations:

From Equation 1, we have: 4x = distance (Equation 3)

From Equation 2, we have: 3(x + 30) = distance (Equation 4)

Now, let's substitute Equation 3 into Equation 4:

3(x + 30) = 4x

Simplifying the equation:

3x + 90 = 4x

Subtracting 3x from both sides:

90 = x

Therefore, the speed of Misha's walk from home to school is 90 meters per minute.

Now, let's substitute this value back into Equation 3 to find the distance:

4(90) = distance

Simplifying the equation:

360 = distance

Therefore, the distance from home to school is 360 meters.

Answer:

The distance from Misha's home to school is 360 meters.