Question

B 2. Расстояние между посёлком и городом 60 км. Из по- сёлка Город Выехал велосипедист СО скоростью 14 км/ч. Одновременно с ним из города в посёлок выехал второй велосипедист со скоростью 12 км/ч. Какое расстояние будет между ними через 2 ч? Дополни схему числами и реши задачу по плану. 1) Какое расстояние проехал первый велосипедист за 2 ч? км/ч км/ч КМ КМ 2) Какое расстояние проехал второй велосипедист за 2 ч? 3) Чему равна сумма расстояний, которые проехали велосипедисты за 2 ч? 4) Каким стало расстояние между велосипедистами че рез 2 ч?​

Answer 1

Ответ:

Пошаговое объяснение:

14 • 2 и 12 • 2 = 28 и 24

28+24 = 52

60-52 = 8 километров

Ответ: 8 км

Answer 2

Дано:

S = 60 км

v₁ = 14 км/ч

v₂ = 12 км/ч

t = 2 ч

_________

S' - ?

Решение:

1) Какое расстояние проехал первый велосипедист за 2 ч?

S₁ = v₁ · t = 14 · 2 = 28 (км)

2) Какое расстояние проехал второй велосипедист за 2 ч?

S₂ = v₂ · t₂ = 12 · 2 = 24 (км)

3) Чему равна сумма расстояний, которые проехали велосипедисты за 2 ч?

S₁₊₂ = S₁ + S₂ = 28 + 24 = 52 (км)

4) Каким стало расстояние между велосипедистами через 2 ч?

S' = S - S₁₊₂ = 60 - 52 = 8 (км)

Ответ: через два часа между велосипедистами будет расстояние в 8 км.

Answer 3

Problem Analysis

We are given that the distance between a village and a city is 60 km. A cyclist leaves the village and travels towards the city at a speed of 14 km/h. At the same time, another cyclist leaves the city and travels towards the village at a speed of 12 km/h. We need to find the distance between them after 2 hours.

Solution

To solve this problem, we can use the formula: distance = speed × time.

1. Distance traveled by the first cyclist in 2 hours: - Speed of the first cyclist = 14 km/h - Time = 2 hours - Distance = Speed × Time = 14 km/h × 2 hours = 28 km

2. Distance traveled by the second cyclist in 2 hours: - Speed of the second cyclist = 12 km/h - Time = 2 hours - Distance = Speed × Time = 12 km/h × 2 hours = 24 km

3. Sum of the distances traveled by both cyclists in 2 hours: - Sum of distances = Distance traveled by the first cyclist + Distance traveled by the second cyclist = 28 km + 24 km = 52 km

4. Distance between the cyclists after 2 hours: - Total distance between the village and the city = 60 km - Distance between the cyclists = Total distance - Sum of distances = 60 km - 52 km = 8 km

Therefore, the distance between the two cyclists after 2 hours is 8 km.

Diagram

Here is a diagram to help visualize the problem:

``` Village ---------------------- 8 km ---------------------- City | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |