Question

задача с помощью уравнения вертолет преодолел расстояние 3150км за 7ч. за сколько часов вертолет преодолеет это расстояние, если его скорость увеличится на 180км/ч.?

Answer 1

Problem Analysis

To solve this problem, we can use the formula: distance = speed × time. We are given the initial distance (3150 km) and the initial time (7 hours). We need to find the new time when the helicopter's speed increases by 180 km/h.

Solution

Let's denote the initial speed of the helicopter as s km/h. According to the given information, the initial distance is 3150 km and the initial time is 7 hours. We can set up the following equation:

3150 = s × 7 [[1]]

Now, let's denote the new speed of the helicopter as s' km/h. We need to find the new time, which we'll denote as t' hours. We can set up the following equation:

3150 = (s + 180) × t' [[2]]

To find the value of t', we can solve equation [[2]] for t':

t' = 3150 / (s + 180)

Now, let's substitute the value of s from equation [[1]] into equation [[2]]:

t' = 3150 / (s + 180) = 3150 / (s/7 + 180) = 3150 / (3150/7 + 180) = 3150 / (450 + 180) = 3150 / 630 = 5

Therefore, when the helicopter's speed increases by 180 km/h, it will take 5 hours to cover the distance of 3150 km.

Conclusion

When the helicopter's speed increases by 180 km/h, it will take 5 hours to cover the distance of 3150 km.