Question

Из двух деревень навстречу друг другу вышли 2 путника площадь между деревнями 84км встретились они через 6 ч с какой скоростью шел первый путник если второй шел со скоростью 8 км/ч

Answer 1

Решение:
1) 84:6=14(км/ч) - общая скорость
2) 14-8=6(км/ч)
Ответ: первый путник шел со скоростью 6 км/час.

Answer 2

Problem Analysis

Two travelers from two different villages are walking towards each other. The distance between the villages is 84 km. They meet after 6 hours. The second traveler is walking at a speed of 8 km/h. We need to find the speed at which the first traveler is walking.

Solution

Let's assume the speed of the first traveler is x km/h.

The total distance covered by the first traveler in 6 hours is 6x km.

The total distance covered by the second traveler in 6 hours is 6 * 8 = 48 km.

Since they meet after 6 hours, the sum of the distances covered by both travelers should be equal to the total distance between the villages, which is 84 km.

Therefore, we can set up the following equation:

6x + 48 = 84

Simplifying the equation:

6x = 84 - 48

6x = 36

Dividing both sides by 6:

x = 36 / 6

x = 6

Therefore, the first traveler is walking at a speed of 6 km/h.

Answer

The first traveler is walking at a speed of 6 km/h.

Verification

Let's verify the answer using the given information.

The first traveler walks for 6 hours at a speed of 6 km/h, covering a distance of 6 * 6 = 36 km.

The second traveler walks for 6 hours at a speed of 8 km/h, covering a distance of 6 * 8 = 48 km.

The sum of the distances covered by both travelers is 36 + 48 = 84 km, which is equal to the total distance between the villages.

Therefore, the answer is verified.