Question

Когда туристы проехали 2/5 всего маршрута и еще 27 км, им осталось проехать 1/3 всего маршрута и еще 13 км. Какое расстояние туристы должны были проехать по маршруту?

Answer 1

2/5X + 27 + 1/3X + 13 = X 
40 = X - 2/5X - 1/3X 
40 = X - 6/15X - 5/15X 
40 = X - 11/15X 
4/15X = 40 
4X = 600 
X = 150 (  км )
Ответ 150 км 

Answer 2

Calculating the Remaining Distance for Tourists

To calculate the remaining distance the tourists should have traveled, we can use the information provided in the question.

Let's denote the total distance of the route as D. According to the given information: - When the tourists had traveled 2/5 of the total distance, they had 27 km remaining. - When they had traveled 1/3 of the total distance, they had 13 km remaining.

We can set up the following equations to solve for the total distance D: 1. (2/5)D - 27 = 0 2. (1/3)D - 13 = 0

Let's solve these equations to find the total distance D.

Solving for the Total Distance

Using the given information, we can solve for the total distance D:

1. (2/5)D - 27 = 0 - Multiply both sides by 5 to clear the fraction: 2D - 135 = 0 - Add 135 to both sides: 2D = 135 - Divide by 2: D = 135 / 2 - D = 67.5 km.

2. (1/3)D - 13 = 0 - Multiply both sides by 3 to clear the fraction: D - 39 = 0 - Add 39 to both sides: D = 39 - D = 39 km.

Conclusion

The total distance of the route is 67.5 km based on the given information.