Question

Путешествуя от Углича по Волге на катере ,ребята в первый день проплыли 72 км,а во второй с той же скоростью -48 км.Сколько всего часов длилась экскурсия на катере ,если во второй день катер был в пути на два часа меньше,чем в первый?

Answer 1

Пусть х- скорость катера. тогда
72/х - 48/х=2
2х=24
х=12 км/ч - скорость катера.
Теперь можно найти время, которое был в пути катер:
1 день 72: 12=6ч
2 день: 48:12=4ч
6+4=10ч- всего длилась экскурсия

Answer 2

Calculation of the Duration of the Excursion

To calculate the duration of the excursion on the boat, we need to consider the distance covered on the first day and the second day, as well as the difference in time spent on the second day compared to the first day.

Given that the distance covered on the first day is 72 km and the distance covered on the second day is 48 km, we can assume that the boat traveled at the same speed on both days.

Let's denote the duration of the excursion on the first day as x hours. Since the boat traveled at a constant speed, we can use the formula: distance = speed × time.

On the first day, the boat traveled a distance of 72 km in x hours, so the speed of the boat can be calculated as 72 km / x hours.

On the second day, the boat traveled a distance of 48 km. However, it was in motion for two hours less than on the first day. Therefore, the duration of the excursion on the second day can be expressed as x - 2 hours.

Using the formula distance = speed × time again, we can write the equation for the second day as 48 km = (72 km / x hours) × (x - 2 hours).

To find the value of x, we can solve this equation.

Let's calculate the duration of the excursion on the boat:

48 km = (72 km / x hours) × (x - 2 hours)

Simplifying the equation:

48 km = 72 km × (x - 2 hours) / x hours

48 km = 72 km × (x - 2) / x

To solve this equation, we can cross-multiply:

48 km × x = 72 km × (x - 2)

48 x = 72 x - 144

24 x = 144

x = 144 / 24

x = 6

Therefore, the duration of the excursion on the boat was 6 hours.

Please note that the calculations provided above are based on the information given in the question and may not reflect the exact details of the excursion.