Из двух поселков навстречу друг другу выехали два всадника Скорость одного 13 км в час встретились
они через 4 часа С какой скоростью двигался второй сальник если расстояние между поселками 100kmОтветы на вопрос
U2 - ?
T = 4 ч
S = 100 km
13*4=52km - прошел 1й всадник
100 - 52 = 48 - прошел 2й всадник
48 : 4 = 12 - U2
Ответ U2=12
Problem Analysis
We have two riders who start from two different villages and travel towards each other. The speed of one rider is given as 13 km/h. They meet after 4 hours, and the distance between the villages is 100 km. We need to find the speed of the second rider.
Solution
Let's assume the speed of the second rider is x km/h. Since they meet after 4 hours, we can calculate the distance traveled by each rider using the formula:
Distance = Speed × Time
For the first rider, the distance traveled is 13 km/h × 4 hours = 52 km.
For the second rider, the distance traveled is x km/h × 4 hours.
Since they meet in the middle, the sum of their distances should be equal to the total distance between the villages, which is 100 km:
52 km + (x km/h × 4 hours) = 100 km
Now we can solve this equation to find the value of x.
Calculation
Let's solve the equation:
52 km + (x km/h × 4 hours) = 100 km
Rearranging the equation:
x km/h × 4 hours = 100 km - 52 km
x km/h × 4 hours = 48 km
Dividing both sides by 4 hours:
x km/h = 48 km / 4 hours
x km/h = 12 km/h
Answer
The second rider was traveling at a speed of 12 km/h.
Verification
Let's verify the answer using the given information.
The first rider traveled at a speed of 13 km/h for 4 hours, covering a distance of 52 km.
The second rider traveled at a speed of 12 km/h for 4 hours, covering a distance of 48 km.
The sum of their distances is 52 km + 48 km = 100 km, which matches the total distance between the villages.
Therefore, the answer is verified.
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