Question

Реши задачу.Вычисли и запиши ответ. Дорога от дома до магазина и от магазина до работы занимает у Дяди Стёпы 14 мин.,причём от дома до магазина он проходит в 3 раза быстрее,чем от магазина до работы.Сколько времени Дядя Стёпа тратит на дорогу от магазина до работы и сколько-на дорогу от дома до магазина?

Answer 1

Пустьх-дорога от магазина до работы, а 3*х- от дома до магазина, тогда уравнение будет 3х+х=14 4х=14 х=3,5 минут-от магазина до работы, 3*3,5=10,5 мин -от дома до магазина

Answer 2

Problem Analysis

We are given that the total time it takes Uncle Stepa to travel from home to the store and from the store to work is 14 minutes. It is also mentioned that he travels from home to the store three times faster than from the store to work. We need to find the time it takes Uncle Stepa to travel from the store to work and from home to the store.

Solution

Let's assume that the time it takes Uncle Stepa to travel from the store to work is x minutes. Since he travels from home to the store three times faster, the time it takes him to travel from home to the store would be 3x minutes.

According to the problem, the total time it takes Uncle Stepa to travel from home to the store and from the store to work is 14 minutes. Therefore, we can write the equation:

3x + x = 14

Simplifying the equation:

4x = 14

Dividing both sides of the equation by 4:

x = 14/4

Simplifying further:

x = 3.5

Therefore, it takes Uncle Stepa 3.5 minutes to travel from the store to work and 3 times faster, which is 10.5 minutes, to travel from home to the store.

Answer

Uncle Stepa spends 3.5 minutes traveling from the store to work and 10.5 minutes traveling from home to the store.