What is the formula between the encounter problem and the itinerary problem, the itinerary problem,

The least common multiple of 72 and 48 is 144,144 72 = 2 (hour) 144 48 = 3 (hour) 144 2 (2+3) =

Find answers to your questions about the itinerary in the tutorial book.

The formula for the chase problem:

1. Speed difference Catch up time = distance difference.

2. Distance difference Speed difference = catch-up time (in the same direction).

3. Speed difference = distance difference and catch-up time.

4. The distance passed by A - the distance traveled by B = the distance between the time of pursuit.

The problem of chasing and encountering two objects moving on the same straight line or closed figure is usually classified as a chasing problem. This type of test is often taken in exams. Generally, there are two types:

One is double chasing and double meeting, which is relatively simple; One is that many people chase and meet, and this kind is more difficult.

Chase problem, the problem of pursuit, encounter, and collision involved in the motion of two objects in the same straight line is usually classified as a chase and collision problem, and the speed difference Chase time = chase and distance, and distance difference Speed difference = chase time (chase in the same direction).

1. Six formulas for encounter problems.

1. The speed of the encounter distance and the time of the encounter.

2. The time of the encounter, the distance of the encounter, the speed and.

3. Speed and meeting distance and meeting time.

4. The distance of the encounter = the distance taken by A + the distance taken by B.

5. A's speed = meeting distance and meeting time - B's speed.

6. A's journey = the distance of meeting - the distance traveled by B.

Second, the problem of encounters.

Two objects travel in the opposite direction from two places, and after a period of time, they will inevitably meet on the way, and this type of problem is called an encounter problem. The encounter problem is the study of the relationship between speed, time, and the number of distances. It differs from the general itinerary problem in the following ways:

It is not the motion of one object, so, the velocity it studies contains the velocity of two objects, that is, the velocity sum.

a) Encounter Issues.

Two moving objects moving in opposite directions or pointing to the opposite motion on the circular runway, with the development of time, will inevitably meet face to face, this kind of problem is called the encounter problem. It is characterized by the fact that two moving objects of Lumu walk together for a complete distance.

The itinerary problem in primary school mathematics textbooks generally refers to the encounter problem.

Encounter problems can be divided into three types according to the quantitative relationship: finding the distance, finding the meeting time, and finding the speed.

Their basic relationship is as follows:

Total distance = (speed A + speed B) Time of encounter.

Encounter time = total distance (speed A + speed B).

Another velocity = A and B velocity and - one known velocity.

2) Catch up on the problem.

The location of the chase problem can be the same (e.g. the catch up problem on a circular runway) or it can be different, but the direction is generally the same. Due to the difference in speed, the problem of fast catching up and slow happens.

According to the relationship between the velocity difference, the distance difference and the catch-up time, the following formula is commonly used:

Distance difference = speed difference catch-up time.

Catch-up time = distance difference speed difference.

Speed difference = distance difference catch-up time.

Speed difference = fast - slow.

The key to solving the problem is to find out the two of the three that are related and correspond to each other, such as distance difference, speed difference, and chasing time, and then use the formula to find the third party to achieve the solution.

3) 2. The problem of separation.

When two moving objects move apart due to their opposite motion, they are separated from each other. The key to solving the distance problem is to find the distance (velocity sum) of the common tendency of two moving objects

The basic formulas are:

Distance between two places = speed and time apart.

Separation time = distance between two places, speed sum.

Speed sum = distance between two places and time apart.

Running water problems. The problem of going down the river and going up the river is often called the flow problem, which is a travel problem, and it is still solved by using the relationship between speed, time, and distance. When answering, pay attention to the meaning of each speed and the relationship between them.

When the boat travels in still water, the distance traveled per unit of time is called rowing speed or rowing force; The speed of the boat traveling along the river is called the speed of the river; The speed of the boat against the current is called the countercurrent velocity; The boat releases the middle stream, and does not rely on power to travel along the water, and the distance traveled per unit time is called the current velocity. The relationship between the various speeds is as follows:

1) Paddle speed + water velocity = downstream speed.

2) Paddle speed - water velocity = countercurrent speed.

3) (Downstream velocity + Countercurrent speed) 2 = Paddle speed.

4) (Downstream velocity - Countercurrent velocity) 2 = Water velocity.

The quantitative relationship of the flow problem is still the relationship between speed, time and distance. i.e.: velocity time = distance; Distance: Speed = Time; Distance Time = Velocity.

However, the river water flows, so there is a difference between going with and against the current. When calculating, it is necessary to clarify the relationship between the various velocities.

Whatever the travel problem, always keep in mind that speed x time = distance.

Do everything you can to find out the three elements you need, namely time, distance, speed, distance before departure, speed difference, speed and, and the multiple relationship between the distance traveled in the same time and the speed.