Question

Пешеход прошёл расстояние от станции до посёлка за5часов,а велосипедист проехал за 2 часа:скорость велосипедиста на 6км/я больше пешехода .найти скорость пешехода и велосипедиста

Answer 1

                                   V                     t                 S
пешеход                     х                      5                 5х
велосипедист            х+6                   2                2(х+6)

5х=2(х+6)
5х=2х+12
5х-2х=12
3х=12
х=12/3
х=4 км/ч - скорость пешехода
х+6=4+6=10 км/ч скорость велосипедиста

Answer 2

Скорость пешехода берем за x, тогда скорость велосипедиста будет x+6 км/ч, время за которое прошел пешеход равно 5 часам, а велосепедиста 2 часа. ростояние проеденое и пешеходом и велесепедистом одинаковое поэтому: 2(x+6)-5x=0 решим
2x+12-5x=0, -3x=-12 , x=4 скорость пешехода 4 км/ч, а велосепедиста 4+6=10 км/ч

Answer 3

Problem Analysis

We are given that a pedestrian walked a certain distance from a station to a village in 5 hours, while a cyclist covered the same distance in 2 hours. The cyclist's speed is 6 km/h faster than the pedestrian's speed. We need to find the speeds of both the pedestrian and the cyclist.

Solution

Let's assume the speed of the pedestrian is v km/h. Since the distance covered by the pedestrian is the same as the distance covered by the cyclist, we can use the formula distance = speed × time to set up an equation for both the pedestrian and the cyclist.

For the pedestrian: distance = v × 5

For the cyclist: distance = (v + 6) × 2

Since the distances are equal, we can set up the following equation: v × 5 = (v + 6) × 2

Now, let's solve this equation to find the value of v.

Calculation

Expanding the equation: 5v = 2v + 12

Simplifying the equation: 5v - 2v = 12 3v = 12

Dividing both sides by 3: v = 4

Answer

The speed of the pedestrian is 4 km/h. Since the cyclist's speed is 6 km/h faster, the speed of the cyclist is 10 km/h.

Explanation

According to the given information, the pedestrian walked a certain distance in 5 hours, while the cyclist covered the same distance in 2 hours. The cyclist's speed is 6 km/h faster than the pedestrian's speed. By setting up an equation using the formula distance = speed × time, we found that the speed of the pedestrian is 4 km/h and the speed of the cyclist is 10 km/h.