Question

За четыри дня путешествие капитан Врунгель проплыл 546 миль. Во второй день он проплыл в 4 раза больше, чем в первый, в третий -- в 3 раза больше,чем в первый, а в четвёртый -- в 5 раз больше, чем в первый. Сколько миль проплывал капитан Врунгель ежедневно? Решите пожалуйста уравнением,чтобы присутствовали слова "Пусть х.."

Answer 1

Пусть в 1-ый день он проплыл х (км,
тогда во 2-ой день 4х(км); в 3-ий - 3х(км); в 4-ый - 5х(км)
Составим уравнение:
х + 4х + 3х + 5х = 546
13х = 546
х = 42
4х = 42 * 4 = 168
3х = 42 * 3 = 126
5х = 42 * 5 = 210
Ответ; 42км- 1-ый день, 168км - 2-ой день; 126км - 3-ий день; 210км- 4-ый день

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of miles Captain Vrungel sailed each day during his four-day journey. We are given that on the second day, he sailed four times more than on the first day, on the third day he sailed three times more than on the first day, and on the fourth day, he sailed five times more than on the first day. Let's solve this problem step by step.

Solution

Let's assume that the number of miles Captain Vrungel sailed on the first day is x miles.

On the second day, he sailed four times more than on the first day, so he sailed 4x miles. On the third day, he sailed three times more than on the first day, so he sailed 3x miles. On the fourth day, he sailed five times more than on the first day, so he sailed 5x miles.

The total distance sailed during the four-day journey is given as 546 miles. Therefore, we can write the equation:

x + 4x + 3x + 5x = 546

Simplifying the equation:

13x = 546

Now, let's solve this equation to find the value of x.

Dividing both sides of the equation by 13:

x = 546 / 13

Evaluating the expression:

x = 42

Therefore, Captain Vrungel sailed 42 miles on the first day.

To find the distance he sailed each day, we substitute the value of x back into the equations:

On the second day: 4x = 4 * 42 = 168 miles On the third day: 3x = 3 * 42 = 126 miles On the fourth day: 5x = 5 * 42 = 210 miles

So, Captain Vrungel sailed 42 miles on the first day, 168 miles on the second day, 126 miles on the third day, and 210 miles on the fourth day.

Answer

Captain Vrungel sailed the following distances each day during his four-day journey: - First day: 42 miles - Second day: 168 miles - Third day: 126 miles - Fourth day: 210 miles

Please let me know if you need any further assistance.