Question

Скорость пешехода 5 км/ч, а скорость велосипедиста 9 км/ч. Пешеход был в пути на 2 ч больше, чем велосипедист, но расстояние они преодолели одинаковое. Как долго был в пути каждый?

Answer 1

Обозначим время которое потратил велосипедист через х часов
тогда время которое потратил пешеход (х+2)часов
велосипедист проехал 9х
а пешеход (х+2)*5
но мы знаем что они равны
9х=(х+2)*5
9х=5х+10
4х=10
х=2,5
ответ:велосипедист был в пути 2,5 часа а пешеход 4,5 часа

Answer 2

Problem Analysis

We are given that the speed of a pedestrian is 5 km/h and the speed of a cyclist is 9 km/h. The pedestrian was on the road for 2 hours longer than the cyclist, but they covered the same distance. We need to find out how long each of them was on the road.

Solution

Let's assume that the time the cyclist was on the road is t hours. Since the pedestrian was on the road for 2 hours longer, the time the pedestrian was on the road is t + 2 hours.

We know that the distance covered by both the pedestrian and the cyclist is the same. The formula to calculate distance is:

Distance = Speed × Time

For the pedestrian, the distance is 5 × (t + 2) km.

For the cyclist, the distance is 9 × t km.

Since both distances are equal, we can set up the following equation:

5 × (t + 2) = 9 × t

Now, let's solve this equation to find the values of t and t + 2.

Calculation

5 × (t + 2) = 9 × t

Expanding the equation:

5t + 10 = 9t

Subtracting 5t from both sides:

10 = 4t

Dividing both sides by 4:

t = 2.5

So, the cyclist was on the road for 2.5 hours, and the pedestrian was on the road for 2 hours longer, which is 4.5 hours.

Answer

The cyclist was on the road for 2.5 hours, and the pedestrian was on the road for 4.5 hours.