Question

От одного села до другого 30 км. один мотоциклист проезжает этот путь за 45 мин, другой за 36 мин. через сколько минут встретятся,если выедут одновременно на встречу друг другу желательно попонятней и до 7 ч вечера

Answer 1

 1) v1=30/45=2/3 (км/мин)

2)V2=30/36=5/6 (км/мин)

 3)2/3+5/6=9/6=1,5 (км/мин)

Встретятся: 4)30/1.5 =20 минн

Answer 2

Problem Analysis

We are given that the distance between two villages is 30 km. One motorcyclist can cover this distance in 45 minutes, while the other can cover it in 36 minutes. We need to determine how many minutes it will take for them to meet if they start simultaneously and travel towards each other.

Solution

To find the time it takes for the two motorcyclists to meet, we can use the concept of relative speed. The relative speed is the sum of the speeds of the two motorcyclists.

Let's calculate the speeds of the two motorcyclists first. We know that speed is equal to distance divided by time. Using this formula, we can find the speeds of the two motorcyclists.

Motorcyclist 1: - Distance: 30 km - Time: 45 minutes

Motorcyclist 2: - Distance: 30 km - Time: 36 minutes

Now, let's calculate the speeds:

Motorcyclist 1 speed = 30 km / 45 min = 0.67 km/min

Motorcyclist 2 speed = 30 km / 36 min = 0.83 km/min

The relative speed of the two motorcyclists is the sum of their speeds:

Relative speed = 0.67 km/min + 0.83 km/min = 1.5 km/min

To find the time it takes for them to meet, we can use the formula:

Time = Distance / Relative speed

Time = 30 km / 1.5 km/min = 20 minutes

Therefore, the two motorcyclists will meet after 20 minutes if they start simultaneously and travel towards each other.

Note: The time mentioned in the question is "until 7 pm." However, since the time of departure is not specified, we cannot determine if they will meet before 7 pm or not.