Question

Два велосипедиста выехали одновременно из двух пунктов навстречу друг другу и встретились через 15 мин. За сколько минут второй велосипедист проезжает расстояние между этими пунктами, если первый велосипедист проезжает его за 40 мин? Объясните, как решать.

Answer 1

S=v1*40=(v1+v2)*15
40v1-15v1=15v2
v2=25v1/15
v2=5v1/3
t2=v1*40:5v1/3=40v1*3/5v1=24 минуты время2

Answer 2

Problem Analysis

We have two cyclists who start simultaneously from two different points and meet after 15 minutes. The first cyclist completes the distance between the points in 40 minutes. We need to find out how long it takes for the second cyclist to cover the same distance.

Solution

Let's assume that the distance between the two points is d.

We know that the first cyclist completes the distance in 40 minutes, so their speed can be calculated as d/40.

Since the second cyclist meets the first cyclist after 15 minutes, we can calculate the distance covered by the first cyclist in 15 minutes using their speed: (d/40) * 15.

The remaining distance between the two cyclists after 15 minutes is d - (d/40) * 15.

Now, we need to find out how long it takes for the second cyclist to cover this remaining distance.

Let's assume the time taken by the second cyclist to cover the remaining distance is t.

We can set up the following equation based on the information given:

(d/40) * 15 + (d/40) * t = d

Simplifying the equation, we get:

15 + t = 40

Solving for t, we find:

t = 40 - 15 = 25 minutes

Therefore, the second cyclist takes 25 minutes to cover the remaining distance between the two points.

Answer

The second cyclist takes 25 minutes to cover the distance between the two points.

Explanation

The first cyclist completes the distance in 40 minutes, and they meet the second cyclist after 15 minutes. This means that the second cyclist covers the remaining distance in 25 minutes.