Question

Велосипедист и пешеход отправились одновременно из деревни на станцию. Велосипедист едет со скоростью 18,4 км/ч. Через 0,6 ч он обогнал пешехода на 7, 68 км. С какой скоростью шёл пешеход?

Answer 1

1)18.4*0.6=11.04км-проехал велосипедист за 0.6часа.

2)11.04-7.68=3.36км-прошёл пешеход за 0.6часа.

3)3.36:0.6=5.6км/ч-скорость пешехода.

Answer 2

Problem Analysis

We are given that a cyclist and a pedestrian start simultaneously from a village to a station. The cyclist is traveling at a speed of 18.4 km/h and after 0.6 hours, he overtakes the pedestrian by a distance of 7.68 km. We need to determine the speed at which the pedestrian is walking.

Solution

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

We can use the formula distance = speed × time to calculate the distance traveled by both the cyclist and the pedestrian.

The distance traveled by the cyclist is given by: distance_cyclist = speed_cyclist × time

The distance traveled by the pedestrian is given by: distance_pedestrian = speed_pedestrian × time

We are given that the cyclist overtakes the pedestrian by a distance of 7.68 km after 0.6 hours. Therefore, we can set up the following equation: distance_cyclist - distance_pedestrian = 7.68 km

Substituting the values we know: (speed_cyclist × time) - (speed_pedestrian × time) = 7.68 km

Simplifying the equation: speed_cyclist × time - speed_pedestrian × time = 7.68 km

Factoring out the common term of time: time × (speed_cyclist - speed_pedestrian) = 7.68 km

We are given that the time is 0.6 hours, so we can substitute that value: 0.6 × (speed_cyclist - speed_pedestrian) = 7.68 km

Now we can solve for the speed of the pedestrian, x: 0.6 × (18.4 - x) = 7.68 km

Simplifying the equation: 11.04 - 0.6x = 7.68 km

Rearranging the equation: 0.6x = 11.04 - 7.68 km

Simplifying further: 0.6x = 3.36 km

Dividing both sides by 0.6: x = 3.36 km / 0.6

Calculating the value of x: x = 5.6 km/h

Therefore, the pedestrian is walking at a speed of 5.6 km/h.

Answer

The pedestrian is walking at a speed of 5.6 km/h.