Question

Теплоход за два дня прошёл 350 км. В первый день он был в пути 8 ч, а во второй - 6 ч. Какое расстояние он прошёл в каждый каждый из дней, если шёл с одинаковой скоростью?

Answer 1

Сколько часов был в пути теплоход?
8 + 6 = 14 (ч)
Какова скорость теплохода?
350 : 14 = 25 (км/ч)
Какое расстояние теплоход прошел в первый день?
25 * 8 = 200 (км)
Какое расстояние теплоход прошел во второй день?
350 - 200 = 150 (км)

Answer 2

Problem Analysis

We are given that a boat traveled a total distance of 350 km in two days. On the first day, it traveled for 8 hours, and on the second day, it traveled for 6 hours. We need to determine the distance the boat traveled each day, assuming it traveled at a constant speed.

Solution

To find the distance traveled each day, we can use the formula:

Distance = Speed × Time

Let's assume the boat traveled at a constant speed of S km/h. We can then calculate the distance traveled on the first day as:

Distance on the first day = Speed × Time on the first day

Similarly, the distance traveled on the second day can be calculated as:

Distance on the second day = Speed × Time on the second day

We know that the total distance traveled is 350 km. Therefore, we can write the equation:

Distance on the first day + Distance on the second day = Total distance

Substituting the formulas for the distances, we get:

Speed × Time on the first day + Speed × Time on the second day = Total distance

We can factor out the speed:

Speed × (Time on the first day + Time on the second day) = Total distance

Now, we can solve for the speed:

Speed = Total distance / (Time on the first day + Time on the second day)

Finally, we can substitute the calculated speed back into the formulas for the distances to find the distances traveled on each day.

Let's calculate the distances:

Calculation

Given: - Total distance = 350 km - Time on the first day = 8 hours - Time on the second day = 6 hours

Using the formula:

Speed = Total distance / (Time on the first day + Time on the second day)

Substituting the values:

Speed = 350 km / (8 hours + 6 hours)

Calculating the speed:

Speed = 350 km / 14 hours = 25 km/h

Now, we can calculate the distances traveled on each day:

Distance on the first day = Speed × Time on the first day = 25 km/h × 8 hours = 200 km

Distance on the second day = Speed × Time on the second day = 25 km/h × 6 hours = 150 km

Answer

Therefore, the boat traveled a distance of 200 km on the first day and 150 km on the second day, assuming it traveled at a constant speed.

Please let me know if I can help you with anything else.