Question

Составьте задачи с помощью схем задачи и решите их.75 км/ч 80 км/чS0-?кмt-2 ч 410 км

Answer 1

Из двух городов расстояние между которыми 410 км, одновременно навстречу выехали 2 машины, первая ехала со скоростью 75 км/ч , вторая 80 км/ч , какое расстояние машины проедут за 2 часа? И сколько им останется проехать км до встречи? РЕШЕНИЕ: 1)80+75=155 км/ч скорость сближения; 2)155*2=310 км машины проедут за 2 часа; 3)410-310=100 км останется проехать до встречи

Answer 2

Task Formulation

To solve the problem, we'll first formulate the task using the given information and then proceed to solve it.

Given: - Speed of the first object (S1) = 75 km/h - Speed of the second object (S2) = 80 km/h - Initial distance between the objects (S0) = ? km - Time (t) = 2 hours - Final distance between the objects (S) = 410 km

Task Formulation

We can use the formula: Distance = Speed × Time

Let's denote the initial distance between the objects as S0. The distance covered by the first object in 2 hours is 75 km/h × 2 h = 150 km. Similarly, the distance covered by the second object in 2 hours is 80 km/h × 2 h = 160 km.

So, the total distance covered by both objects in 2 hours is 150 km + 160 km = 310 km.

Now, we can use the formula: Final distance (S) = Initial distance (S0) + Total distance covered

We can rearrange this formula to solve for the initial distance (S0): Initial distance (S0) = Final distance (S) - Total distance covered

Substituting the given values: S0 = 410 km - 310 km = 100 km

Solution

Therefore, the initial distance between the objects was 100 km.

Let's verify this solution with a quick calculation: - The first object traveled at 75 km/h for 2 hours, covering 150 km. - The second object traveled at 80 km/h for 2 hours, covering 160 km. - The total distance covered by both objects in 2 hours is 150 km + 160 km = 310 km. - The initial distance between the objects was 410 km - 310 km = 100 km.

The initial distance between the objects was indeed 100 km.