Question

Из города А в город В выехал велосипедист. Через 3 часа после его выезда навстречу ему из города В выехал мотоциклист со скоростью 42км/ч. Через 2 часа после выезда мотоциклиста они встретились. Найдите скорость велосипедиста,если расстояние между городами А и В равно144км

Answer 1

42*2=84(км) - проехал мотоциклист за 2 часа

144-84=60(км) - проехал велосипедист до встречи

Велосипедист выехал на 3 часа раньше

3+2=5(час) - был в дороге велосипедист

60:5=12(км/ч) - скорость велосипедиста

Answer 2

Problem Analysis

We are given that a cyclist travels from city A to city B, and after 3 hours, a motorcyclist leaves city B and travels towards city A at a speed of 42 km/h. After 2 hours of the motorcyclist's departure, they meet. We need to find the speed of the cyclist.

Solution

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

To find the solution, we can use the formula: distance = speed × time.

The distance traveled by the cyclist in 3 hours is 3x km.

The distance traveled by the motorcyclist in 2 hours is 42 × 2 = 84 km.

Since they meet, the sum of their distances should be equal to the total distance between city A and city B, which is given as 144 km.

So, we can write the equation: 3x + 84 = 144.

Simplifying the equation, we have: 3x = 144 - 84.

Solving for x, we get: x = (144 - 84) / 3.

Now, let's calculate the value of x.

Calculation

Using the given equation, we can calculate the speed of the cyclist:

x = (144 - 84) / 3.

Simplifying the equation, we have:

x = 60 / 3.

Calculating the value, we find:

x = 20.

Answer

Therefore, the speed of the cyclist is 20 km/h.

Please let me know if I can help you with anything else.