Question

Маша и Даша увидели друг друга,когда расстояние между ними было 100 метров.Они побежали навстречу друг другу и встретились через 10 секунд.Известно что Маша бегает 4 метра в секунду.какое утверждение верное-1)даша до встречи пробежала 60метров2)если бы маша побежала не на встречу даше ,а от неё то даша догнала бы машу через 50 секунд.

Answer 1

1) 100:10=10 м/с суммарная скорость обоих девочек
2) 10-4=6 м/с скорость Даши

Проверяем 1 утверждение
6*10=60 м
итог первое утверждение верно

проверяем 2 утверждение
1) 6-4=2 м/с скорость догона
2) 100:2=50 с
итог это утверждение верно

Ответ оба утверждения верны!

Answer 2

Problem Analysis

Masha and Dasha saw each other when the distance between them was 100 meters. They started running towards each other and met after 10 seconds. It is known that Masha runs at a speed of 4 meters per second. We need to determine which statement is correct:

1) Dasha ran 60 meters before the meeting. 2) If Masha had run away from Dasha instead of towards her, Dasha would have caught up with Masha in 50 seconds.

Solution

To solve this problem, we need to calculate the distance each person ran before they met.

Let's start with the first statement: Dasha ran 60 meters before the meeting.

To verify this statement, we can calculate the distance Masha ran before the meeting. Since Masha runs at a speed of 4 meters per second and they met after 10 seconds, the distance Masha ran is:

Distance Masha ran = Speed * Time = 4 m/s * 10 s = 40 meters.

Since the total distance between them was 100 meters, we can calculate the distance Dasha ran before the meeting:

Distance Dasha ran = Total distance - Distance Masha ran = 100 meters - 40 meters = 60 meters.

Therefore, the first statement