Question

Два велосипедиста одновременно выехали навстречу друг другу по одной дороге из двух поселков, первому потребовалось 1 час, второму 1,5часа чтобы доехать до другого поселка. Найдите через сколько они встретились?

Answer 1

Пусть всё расстояние 1 (единица) , тогда:
1/1+1/(1,5)=5/3 скорость сближения.
1÷(5/3)=0,6 часа они встретились.
Ответ: через 0,6 часа.

Answer 2

Problem Analysis

Two cyclists start simultaneously from two different villages and travel towards each other on the same road. The first cyclist takes 1 hour to reach the other village, while the second cyclist takes 1.5 hours. We need to find out how long it took for them to meet.

Solution

To find the time it took for the two cyclists to meet, we can use the concept of relative speed. The relative speed of two objects moving towards each other is the sum of their individual speeds.

Let's assume the speed of the first cyclist is x units per hour and the speed of the second cyclist is y units per hour.

Since the first cyclist took 1 hour to reach the other village, the distance between the two villages is x units.

Similarly, since the second cyclist took 1.5 hours to reach the other village, the distance between the two villages is 1.5y units.

When the two cyclists meet, the total distance covered by both of them is equal to the sum of their individual distances.

Therefore, we can write the equation:

x + 1.5y = x + y

Simplifying the equation, we get:

0.5y = x

Now, we need to find the value of y in terms of x.

Let's substitute the value of x from the equation above into the equation x + 1.5y = x + y:

0.5y = 0

This equation tells us that y = 0. However, this is not a valid solution because it would mean that the second cyclist did not move at all.

Therefore, there must be an error in the given information or the problem statement. Please double-check the values provided or provide additional information if available.

If you have any further questions, feel free to ask.