Question

Всем привет!помогите плиииииииииииииииииииииииииииииис!!! №1101 Решите задачу рациональным способом. Чтобы добраться до пункта назначения, путешествинники шли три дня. В первый день они прошли 30% всего пути без 20км. Во второй день они 60% прошли оставшегося пути без 10км,и на третий день им осталось пройти 130км. 1)На каком расстоянии от начального пункта находится пункт назначения путешестенников? 2)Сколько они прошли впервый день? 

Answer 1

Problem Analysis

To solve this problem, we need to find the total distance between the starting point and the destination point, as well as the distance traveled by the travelers on the first day.

Let's break down the information given in the problem: - On the first day, the travelers covered 30% of the total distance minus 20 km. - On the second day, they covered 60% of the remaining distance minus 10 km. - On the third day, they had 130 km left to travel.

We can use this information to calculate the total distance and the distance traveled on the first day.

Solution

1) To find the total distance between the starting point and the destination, we can use the information given on the second and third days. Let's denote the total distance as D.

On the second day, the travelers covered 60% of the remaining distance minus 10 km. This can be expressed as:

0.6(D - 20 - 10) = D - 130

Simplifying the equation:

0.6D - 36 = D - 130

0.4D = 94

D = 235

Therefore, the total distance between the starting point and the destination is 235 km.

2) To find the distance traveled on the first day, we can use the information given on the first day. Let's denote the distance traveled on the first day as x.

On the first day, the travelers covered 30% of the total distance minus 20 km. This can be expressed as:

0.3(D - 20) = x

Substituting the value of D we found earlier:

0.3(235 - 20) = x

0.3(215) = x

x = 64.5

Therefore, the travelers covered 64.5 km on the first day.

Conclusion

1) The distance between the starting point and the destination of the travelers is 235 km. 2) The travelers covered 64.5 km on the first day.

Please let me know if you need any further assistance!