
За три дня турист прошел 90км.Во второй день он прошел на 10км меньше чем в первый день,а в третий
4/5 того что первый и второй день вместе.Сколько километров проходил турист каждый день?Решите пожалуйста))Если можно с условием)))

Ответы на вопрос

Во второй 90-10=80 км.
В третий (90+80)\5*4= 136км.



Problem Analysis
We are given that a tourist walked a total of 90 km over three days. On the second day, the tourist walked 10 km less than on the first day, and on the third day, the distance covered was 4/5 of the combined distance covered on the first and second days. We need to find the distance covered by the tourist each day.Solution
Let's assume that the distance covered on the first day is x km.According to the given information, the distance covered on the second day is 10 km less than the first day, so it is x - 10 km.
The distance covered on the third day is 4/5 of the combined distance covered on the first and second days. The combined distance covered on the first and second days is x + (x - 10) km. Therefore, the distance covered on the third day is (4/5) * (x + (x - 10)) km.
We know that the total distance covered over the three days is 90 km. So, we can write the equation:
x + (x - 10) + (4/5) * (x + (x - 10)) = 90
Now, let's solve this equation to find the value of x.
Calculation
x + (x - 10) + (4/5) * (x + (x - 10)) = 90Simplifying the equation:
2x - 10 + (4/5) * (2x - 10) = 90
Multiplying through by 5 to eliminate the fraction:
5(2x - 10) + 4(2x - 10) = 450
Simplifying further:
10x - 50 + 8x - 40 = 450
Combining like terms:
18x - 90 = 450
Adding 90 to both sides:
18x = 540
Dividing both sides by 18:
x = 30
Answer
The distance covered by the tourist each day is as follows: - First day: 30 km - Second day: 20 km (10 km less than the first day) - Third day: 40 km (4/5 of the combined distance covered on the first and second days)Therefore, the tourist covered 30 km on the first day, 20 km on the second day, and 40 km on the third day.


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