Question

Из одной и той же точки шоссе в противоположных направлениях выехали два велосипедиста, один со скоростью 12 км/ч, другой со скоростью 14 км/ч. Первый велосипедист выехал на час раньше второго. Через сколько времени после выезда первого велосипедиста расстояние между велосипедистами будет равно 130

Answer 1

1) 12+14=26-общая скорость
2) 130:26=5ч
Ответ: 5 часов

Answer 2

Problem Analysis

We have two cyclists who start from the same point on a highway in opposite directions. One cyclist has a speed of 12 km/h, while the other has a speed of 14 km/h. The first cyclist starts one hour earlier than the second cyclist. We need to determine how much time it will take for the distance between the two cyclists to be equal to 130 km.

Solution

Let's assume that the time it takes for the first cyclist to reach the point where the distance between them is 130 km is t hours. Since the first cyclist started one hour earlier, the second cyclist will have been cycling for t - 1 hours.

We can calculate the distance traveled by each cyclist using the formula: distance = speed * time.

For the first cyclist: distance1 = 12 km/h * t

For the second cyclist: distance2 = 14 km/h * (t - 1)

According to the problem, the distance between the two cyclists will be equal to 130 km. Therefore, we can set up the following equation:

distance1 + distance2 = 130

Substituting the expressions for distance1 and distance2, we get:

12t + 14(t - 1) = 130

Simplifying the equation:

12t + 14t - 14 = 130 26t - 14 = 130 26t = 144 t = 144 / 26 t ≈ 5.54

Therefore, it will take approximately 5.54 hours for the distance between the two cyclists to be equal to 130 km.

Answer

After the first cyclist starts, it will take approximately 5.54 hours for the distance between the two cyclists to be equal to 130 km.