
В первый день турист прошёл 20 км, а во второй 30 км. Во второй день турист был в пути на 2 часа
больше, чем в первый. Сколько времени турист был в пути каждый день, если он шёл все время с одинаковой скоростью? ПОМОГИТЕ ПОЖАЛУЙСТА!!!

Ответы на вопрос




х+2 ч время в пути во 2 день
20÷х=30÷(х+2)
30х=20(х+2)
30х=20х+40
30х-20х=40
10х=40
х=40÷10
х=4 ч в пути в 1 день
4+2=6ч во 2 день



Calculation of Time Spent by the Tourist Each Day
To calculate the time spent by the tourist each day, we need to consider the distances covered and the difference in time spent between the two days.
Let's break down the information provided:
- On the first day, the tourist walked 20 km. - On the second day, the tourist walked 30 km. - The second day took 2 hours longer than the first day.
To find the time spent by the tourist each day, we can assume that the tourist walked at a constant speed throughout both days. Therefore, we can use the formula:
Time = Distance / Speed
Let's calculate the time spent by the tourist each day:
1. First, we need to find the speed of the tourist. Since the speed is constant, we can assume it is the same for both days.
2. Then, we can calculate the time spent on each day using the formula mentioned above.
Calculation Steps:
1. Calculate the speed of the tourist: - Speed = Distance / Time
2. Calculate the time spent on the first day: - Time1 = Distance1 / Speed
3. Calculate the time spent on the second day: - Time2 = Distance2 / Speed
4. Find the difference in time between the two days: - Time2 - Time1 = 2 hours
Let's perform the calculations:
1. Calculate the speed of the tourist: - Speed = Distance / Time - Speed = 20 km / Time1 - Speed = 30 km / Time2
2. Calculate the time spent on the first day: - Time1 = Distance1 / Speed - Time1 = 20 km / Speed
3. Calculate the time spent on the second day: - Time2 = Distance2 / Speed - Time2 = 30 km / Speed
4. Find the difference in time between the two days: - Time2 - Time1 = 2 hours
Now, let's solve the equations to find the values:
From the given information, we can see that the difference in distance between the two days is 10 km (30 km - 20 km).
Using this information, we can calculate the speed of the tourist:
- Speed = Distance / Time - Speed = 10 km / 2 hours - Speed = 5 km/h
Now, let's calculate the time spent on each day:
- Time1 = Distance1 / Speed - Time1 = 20 km / 5 km/h - Time1 = 4 hours
- Time2 = Distance2 / Speed - Time2 = 30 km / 5 km/h - Time2 = 6 hours
Therefore, the tourist spent 4 hours on the first day and 6 hours on the second day.
Answer: The tourist spent 4 hours on the first day and 6 hours on the second day, assuming they walked at a constant speed throughout both days.
Note: The calculations are based on the assumption that the tourist walked at a constant speed and that the given distances and time differences are accurate.


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