
Помогите решить задачу Экскурсионный теплоход проплыл за 3 дня 240 км.В первый день он проплыл три
восьмых всего пути,а во второй две пятых всего пути.Сколько километров проплыл теплоход в третий день?

Ответы на вопрос




Problem Analysis
To solve this problem, we need to find the distance the excursion ship traveled on the third day. We are given that the ship traveled a total of 240 km in 3 days. On the first day, it covered three-eighths of the total distance, and on the second day, it covered two-fifths of the total distance. We need to determine the distance covered on the third day.Solution
Let's calculate the distance covered on the first and second days and then find the remaining distance for the third day.1. Calculate the distance covered on the first day: - The ship covered three-eighths of the total distance. - Let's represent the total distance as x. - The distance covered on the first day is (3/8)x.
2. Calculate the distance covered on the second day: - The ship covered two-fifths of the total distance. - The remaining distance after the first day is x - (3/8)x = (5/8)x. - The distance covered on the second day is (2/5)(5/8)x = (1/4)x.
3. Calculate the distance covered on the third day: - The total distance covered in 3 days is 240 km. - The distance covered on the first day is (3/8)x. - The distance covered on the second day is (1/4)x. - The distance covered on the third day is the remaining distance: 240 km - [(3/8)x + (1/4)x].
Let's calculate the distance covered on the third day using the given information.
Calculation
1. Calculate the distance covered on the first day: - Distance covered on the first day = (3/8)(240 km) = 90 km.2. Calculate the distance covered on the second day: - Remaining distance after the first day = 240 km - 90 km = 150 km. - Distance covered on the second day = (1/4)(150 km) = 37.5 km.
3. Calculate the distance covered on the third day: - Distance covered on the third day = 240 km - (90 km + 37.5 km) = 112.5 km.
Answer
The excursion ship traveled 112.5 km on the third day.Please let me know if you need any further assistance!


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