Question

ОТ села до города 170км, ИЗ села выехал мотоциклист со скоростью 42км в час, Через час ему навстречу из города в село выехал в велосипедист, который двигался со скоростью 22км час, Через какое время они встретятся,

Answer 1

170-42=128 км -----осталось до встречи

42+22=64 км/час ------общая скорость

128:64=2 часа -----через это время встретятся мотоциклист и велосипедист.

Answer 2

 

1)сколько км осталось проехать после выезда велосипедиста?

170-42= 128 км

2)скорость сближения

42+22=64 км/час

3)через сколько встретятся?

128:64= 2 часа

 

Answer 3

Problem Analysis

We are given that the distance from the village to the city is 170 km. A motorcyclist leaves the village and travels towards the city at a speed of 42 km/h. After an hour, a cyclist leaves the city and travels towards the village at a speed of 22 km/h. We need to determine how long it will take for them to meet.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed is the combined speed at which the two objects are approaching each other.

Let's assume that the time it takes for the motorcyclist and the cyclist to meet is 't' hours. During this time, the motorcyclist would have traveled a distance of 42t km, and the cyclist would have traveled a distance of 22t km.

Since they are traveling towards each other, the sum of their distances should be equal to the total distance between the village and the city, which is 170 km.

So, we can set up the equation: 42t + 22t = 170

Simplifying the equation: 64t = 170

Solving for 't': t = 170/64

Calculating the value of 't': t ≈ 2.65625 hours

Therefore, it will take approximately 2.65625 hours (or about 2 hours and 39 minutes) for the motorcyclist and the cyclist to meet.

Answer

The motorcyclist and the cyclist will meet after approximately 2.65625 hours (or about 2 hours and 39 minutes).

Note: The answer provided is an approximation and may vary slightly depending on the exact values used in the calculations.