Question

Из двух посёлков, расстояние между которыми 7050 м вышли навстречу одновременно два мальчика и встретились через 50 минут. Один мальчик каждые 8 минут проходит 756 м. На сколько метров один мальчик прошёл больше другого?

Answer 1

756:8=94,5м мальчик проходил за 1 минуту
94,5*50=4725м прошёл мальчик за 50 минут
Значит:
7050-4725=2325м прошёл второй мальчик за 50 минут.
4725-2325=2400м
Ответ: на 2400м

Answer 2

Problem Analysis

We have two boys who start walking towards each other from two villages that are 7050 meters apart. They meet after 50 minutes. One of the boys walks 756 meters every 8 minutes. We need to determine how many more meters one boy walked compared to the other.

Solution

Let's calculate the distance each boy walked and then find the difference.

Let's assume: - Boy A walks x meters every 8 minutes. - Boy B walks y meters every 8 minutes.

We know that Boy A walks 756 meters every 8 minutes, so we can set up the following equation: x/8 = 756

Simplifying the equation, we find: x = 756 * 8

Similarly, we can set up the following equation for Boy B: y/8 = ?

Since we don't have the value for y, we need to find it using the information given.

We know that the two boys meet after 50 minutes. Let's calculate the distance each boy walked in 50 minutes.

Boy A: Distance walked by Boy A in 50 minutes = (x/8) * 50

Boy B: Distance walked by Boy B in 50 minutes = (y/8) * 50

Since the two boys meet, the sum of the distances they walked should be equal to the distance between the villages, which is 7050 meters.

(x/8) * 50 + (y/8) * 50 = 7050

Simplifying the equation, we find: (x + y) * 50 = 7050 * 8

Now we have two equations: 1. x = 756 * 8 2. (x + y) * 50 = 7050 * 8

We can solve these equations to find the values of x and y.

Calculation

Let's calculate the values of x and y using the given information.

From equation 1, we have: x = 756 * 8 x = 6048

Substituting the value of x in equation 2, we have: (6048 + y) * 50 = 7050 * 8

Simplifying the equation, we find: 302400 + 50y = 56400

Subtracting 302400 from both sides, we have: 50y = -246000

Dividing both sides by 50, we find: y = -4920

Since distance cannot be negative, we can ignore the negative sign and take the absolute value of y: y = 4920

Now we have the values of x and y: x = 6048 y = 4920

Answer

The first boy walked 6048 meters, and the second boy walked 4920 meters. To find the difference, we subtract the distance walked by the second boy from the distance walked by the first boy: 6048 - 4920 = 1128

Therefore, one boy walked 1128 meters more than the other boy.

Conclusion

Based on the given information, one boy walked 1128 meters more than the other boy.