Question

Турист прошёл расстояние между поселками за 4 дня, преодолевая в день по 21 км. На обратном пути он увеличил скорость и проходил на 7 км в день больше . Сколько дней турист потратил на обратный путь?

Answer 1

21*4=84(км) длина пути
21+7=28(км/день) скорость на обратном пути
84:28=3(дня)
Ответ: за 3 дня турист прошел путь обратно.

Answer 2

Calculation of the Distance and Time Taken

To calculate the time taken for the return journey, we need to determine the distance between the two villages and the speed at which the tourist traveled on the return journey.

Given that the tourist took 4 days to cover the distance between the villages, traveling 21 km per day, we can calculate the total distance using the formula:

Total Distance = Speed * Time

Substituting the values, we have:

Total Distance = 21 km/day * 4 days = 84 km.

Now, let's calculate the speed at which the tourist traveled on the return journey. We know that the tourist increased their speed by 7 km per day compared to the initial journey. Therefore, the speed on the return journey would be:

Speed on Return Journey = Speed on Initial Journey + 7 km/day

Substituting the value, we have:

Speed on Return Journey = 21 km/day + 7 km/day = 28 km/day.

Calculation of Time Taken for the Return Journey

To calculate the time taken for the return journey, we can use the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 84 km / 28 km/day = 3 days.

Therefore, the tourist spent 3 days on the return journey.

Please let me know if there's anything else I can help you with!