Question

Велосипедист стал догонять пешехода, когда между ними было 2,1 км, и догнал его через 0,25 часов. Найдите скорость велосипедиста скорость пешехода, если скорость пешехода была в 3,4 раза меньше скорости велосипедиста.

Answer 1

Ответ:
вроде как-то так)

пусть скорость пешехода х км/ч, тогда скорость велосипедиста 3,4х км/ч. Скорость приближения велосипедиста (3,4х - х) км/ч. По условию задачи с этой скоростью велосипедист догонял пешехода 0,25 часа и проехал 2,1 км. Составляем уравнение:
(3,4х-х)*0,25=2,1
2,4х*0,25=2,1
0,6х=2,1
х=3,5  (км/ч)  -скорость пешехода
 скорость велосипедиста 3,4х =3,4*3,5 = 11,9 км/ч

ответ:3,5км/ч;11,9 км/ч.

Answer 2

Problem Analysis

We are given that a cyclist catches up to a pedestrian when there is a distance of 2.1 km between them. The cyclist catches up to the pedestrian in 0.25 hours. We need to find the speed of the cyclist and the speed of the pedestrian, given that the pedestrian's speed is 3.4 times slower than the cyclist's speed.

Solution

Let's assume the speed of the cyclist is v km/h and the speed of the pedestrian is p km/h.

We can use the formula distance = speed × time to set up two equations based on the given information.

Equation 1: The distance covered by the cyclist in 0.25 hours is equal to the distance between the cyclist and the pedestrian, which is 2.1 km. v × 0.25 = 2.1 Equation 2: The speed of the pedestrian is 3.4 times slower than the speed of the cyclist. p = v / 3.4

Now, we can solve these equations to find the values of v and p.

Calculation

Let's solve Equation 1 for v: v × 0.25 = 2.1 v = 2.1 / 0.25 v = 8.4 Now, let's substitute the value of v into Equation 2 to find p: p = 8.4 / 3.4 p ≈ 2.47 (rounded to two decimal places)

Answer

The speed of the cyclist is approximately 8.4 km/h and the speed of the pedestrian is approximately 2.47 km/h.