Question

Из двух поселков,расстояние между которыми 2км,выехали одновременно навстречу друг другу 2 всадника.Первый ехал со скоростью 200м\мин,а второй проезжал каждую минуту на 100м больше.Через сколько минут они встретились.

Answer 1

 2км=2000м

200+100=300м/мин- скорость второго

200+300=500м/мин- скорость сближения

2000/500=4мин- через столько встретятся

 

 

 

 

 

 

 

 

Answer 2

200+100=300м/мин - скорость второго всадника

300+200= 500м/мин - скорость сближения

2000/500=4мин- через 4 минуты они встретились

 

 

 

 

Answer 3

Problem Analysis

We have two riders who start from two different villages and are traveling towards each other. The first rider is traveling at a constant speed of 200 m/min, while the second rider is traveling at a speed that is 100 m/min faster than the previous minute. We need to determine how many minutes it will take for them to meet.

Solution

To solve this problem, we can set up an equation based on the given information. Let's assume that it takes x minutes for the riders to meet.

The first rider will travel a distance of 200x meters in x minutes, while the second rider will travel a distance of (200 + 100(x-1))x meters in x minutes.

Since the total distance between the two villages is 2 km (2000 meters), we can set up the equation:

200x + (200 + 100(x-1))x = 2000

Simplifying the equation:

200x + (200x + 100x - 100)x = 2000 500x^2 - 100x - 2000 = 0

Now we can solve this quadratic equation to find the value of x.

Calculation

Using the quadratic formula, x = (-b ± √(b^2 - 4ac)) / (2a), where a = 500, b = -100, and c = -2000.

Plugging in the values:

x = (-(-100) ± √((-100)^2 - 4 * 500 * -2000)) / (2 * 500) x = (100 ± √(10000 + 4000000)) / 1000 x = (100 ± √4010000) / 1000

Calculating the square root:

x = (100 ± 2002.498) / 1000

Simplifying:

x = (100 + 2002.498) / 1000 or x = (100 - 2002.498) / 1000

Calculating the values:

x = 2102.498 / 1000 or x = -1902.498 / 1000

Since time cannot be negative, we discard the negative value:

x = 2102.498 / 1000 x ≈ 2.102 minutes

Answer

The two riders will meet approximately 2.102 minutes after they start their journey.