Question

Два велосипедиста выехали одновременно из двух пунктов навстречу друг другу и встретились через 18 минут.За сколько минут второй велосипедист проезжает расстояние между этими пунктами,если первый велосипедист проезжает это расстояние за 30 минут?

Answer 1

Второй проедит все расстояние за х минут. За одну минуту второй проедит 1/х часть пути, а первый 1/30 часть пути.
18(1/30+1/х)=1; х=45 минут.

Answer 2

Calculating the Time Taken by the Second Cyclist

Two cyclists start from two points towards each other and meet after 18 minutes. The first cyclist covers the distance in 30 minutes. We need to calculate how long the second cyclist takes to cover the same distance.

To solve this problem, we can use the concept of relative speed and time taken to cover a certain distance.

The relative speed of the two cyclists is the sum of their individual speeds, as they are moving towards each other.

The formula to calculate the time taken when two objects move towards each other is: Time = Distance / Relative Speed

Using the given information, we can calculate the time taken by the second cyclist.

First, we need to find the relative speed of the two cyclists. Then, we can use this relative speed to calculate the time taken by the second cyclist.

Calculating Relative Speed

The relative speed of the two cyclists can be calculated using the formula: Relative Speed = Total Distance / Time Taken

From the given information, we know that the two cyclists meet after 18 minutes. We also know that the first cyclist covers the distance in 30 minutes.

Using this information, we can calculate the relative speed of the two cyclists.

Calculation

Relative Speed = Total Distance / Time Taken Relative Speed = Total Distance / 18 minutes Relative Speed = Total Distance / 30 minutes + Total Distance / 30 minutes Relative Speed = Total Distance / 18 minutes

Now, we can use the relative speed to calculate the time taken by the second cyclist.

Time Taken by the Second Cyclist

Time = Distance / Relative Speed

This will give us the time taken by the second cyclist to cover the distance between the two points.

Let's calculate the time taken by the second cyclist using the relative speed we found earlier.