Question

2.Реши уравнение 5 С двух поселков одновременно выехали два велосипедиста первый со скоростью 16км/ч, а второй 12км/ч.. Встретились они через 6ч. Какое расстояние было между ними?​

Answer 1

1. Встречное движение.

А -------------------------------------- ? км ------------------------------------ В

-----> 16 км/ч                           t = 6 ч                       12 км/ч <-----

1) 16 + 12 = 28 (км/ч) - скорость сближения;

2) 28 · 6 = 168 (км) - расстояние между пунктами.

2. Движение вдогонку.

А ------------------------------ ? км -------------------------- В

-----> 16 км/ч                 t = 6 ч                              -----> 12 км/ч

1) 16 - 12 = 4 (км/ч) - скорость сближения;

2) 4 · 6 = 24 (км) - расстояние между пунктами.

Ответ: 168 км; 24 км.

Answer 2

Problem Analysis

We are given that two cyclists start simultaneously from two different villages. The first cyclist travels at a speed of 16 km/h, while the second cyclist travels at a speed of 12 km/h. They meet after 6 hours. We need to find the distance between the two villages.

Solution

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

Let's assume that the distance between the two villages is d kilometers.

The first cyclist travels at a speed of 16 km/h, so in 6 hours, the distance covered by the first cyclist is 16 × 6 = 96 km.

Similarly, the second cyclist travels at a speed of 12 km/h, so in 6 hours, the distance covered by the second cyclist is 12 × 6 = 72 km.

Since they meet after 6 hours, the sum of the distances covered by both cyclists should be equal to the total distance between the villages. Therefore, we can write the equation:

96 km + 72 km = d km

Simplifying the equation, we find:

168 km = d km

So, the distance between the two villages is 168 km.

Answer

The distance between the two villages is 168 km.