Question

Из города вышел пешеход со скоростью 6 км/ч,а через 2 часа за ним выехал велосипелист со скоростью 10 км/ч.Через сколько времени они встретятся?

Answer 1

6*2=12 км пройдёт пешеход
10-6=4 км / ч разница скорости велосипедиста и пешехода
12:4=3 ч
ответ: через 3 ч они встретятся

Answer 2

Problem Analysis

We are given that a pedestrian is walking at a speed of 6 km/h, and after 2 hours, a cyclist starts riding at a speed of 10 km/h. We need to determine how much time it will take for them to meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the pedestrian and the cyclist is the sum of their individual speeds. We can calculate the relative speed and then use it to find the time it takes for them to meet.

Let's calculate the relative speed first:

Relative speed = Speed of pedestrian + Speed of cyclist

Substituting the given values:

Relative speed = 6 km/h + 10 km/h = 16 km/h

Now, we can use the formula:

Time = Distance / Speed

Since the distance covered by both the pedestrian and the cyclist is the same when they meet, we can set up the equation:

Distance = Relative speed * Time

Substituting the values:

Distance = 16 km/h * Time

Since the pedestrian has already been walking for 2 hours when the cyclist starts, the total time for the pedestrian is (Time + 2) hours.

Now, we can set up another equation using the distance covered by the pedestrian:

Distance = Speed of pedestrian * Total time

Substituting the values:

Distance = 6 km/h * (Time + 2) hours

Since the distance covered by both the pedestrian and the cyclist is the same, we can equate the two equations:

16 km/h * Time = 6 km/h * (Time + 2) hours

Simplifying the equation:

16 Time = 6 (Time + 2)

16 Time = 6 Time + 12

10 Time = 12

Time = 12 / 10

Time = 1.2 hours

Therefore, the pedestrian and the cyclist will meet after 1.2 hours.

Answer

The pedestrian and the cyclist will meet after 1.2 hours.

Explanation

The pedestrian is walking at a speed of 6 km/h, and after 2 hours, the cyclist starts riding at a speed of 10 km/h. The relative speed between the pedestrian and the cyclist is the sum of their individual speeds, which is 16 km/h. The distance covered by both the pedestrian and the cyclist is the same when they meet. By setting up equations using the distance and speed formulas, we can solve for the time it takes for them to meet. The calculated time is 1.2 hours.