Question

Турист вышел на пункт A и прошел 7км за 1 три четвёртых часа,затем сделал привал на 15 минут,после чего прошел оставшиеся 10,5 км за 3часа.На каком расстоянии от пункта А находился турист через a часов, где 2

Answer 1

1 3/4 ч=7км, 105мин=7000м, 1 мин= х м, 105х=7000, 10,5х=700, 21/2х=700, х=700:21/2, х=200/3, 1 мин=200/3м, 2ч=х м, 2ч=120мин, 2ч=120*200/3, 2ч=8000м, 2ч=8км, 7км+10,5км+8км=25,5км, Турист от А пункта через 2 часа находился в 25,5 км.

Answer 2

Problem Analysis

A tourist starts at point A and walks 7 km in 1 and 3/4 hours. Then, they take a 15-minute break and continue walking the remaining 10.5 km in 3 hours. We need to determine the distance from point A where the tourist will be after a certain number of hours.

Solution

To solve this problem, we can break it down into two parts: the distance covered before the break and the distance covered after the break.

1. Distance covered before the break: - The tourist walks 7 km in 1 and 3/4 hours. - To find the speed, we divide the distance by the time: 7 km / (1 and 3/4 hours). - We can convert the time to minutes for easier calculations: 1 and 3/4 hours = 1 hour + 45 minutes = 60 minutes + 45 minutes = 105 minutes. - The speed is then 7 km / 105 minutes. - To find the distance covered after a certain number of hours, we multiply the speed by the number of hours. - Let's call the number of hours after which we want to find the distance "a". - The distance covered before the break after "a" hours is (7 km / 105 minutes) * (a hours).

2. Distance covered after the break: - The tourist walks the remaining 10.5 km in 3 hours. - The speed is then 10.5 km / 3 hours. - The distance covered after the break after "a" hours is (10.5 km / 3 hours) * (a hours).

3. Total distance from point A after "a" hours: - To find the total distance from point A after "a" hours, we add the distance covered before the break and the distance covered after the break. - The total distance from point A after "a" hours is (7 km / 105 minutes) * (a hours) + (10.5 km / 3 hours) * (a hours).

Now, let's calculate the distance from point A after 2 hours.

Calculation

To find the distance from point A after 2 hours, we substitute "a" with 2 in the formula:

Total distance from point A after 2 hours = (7 km / 105 minutes) * (2 hours) + (10.5 km / 3 hours) * (2 hours)

Let's calculate this:

Total distance from point A after 2 hours = (7 km / 105 minutes) * (2 hours) + (10.5 km / 3 hours) * (2 hours)

Converting the time to minutes:

Total distance from point A after 2 hours = (7 km / 105 minutes) * (120 minutes) + (10.5 km / 3 hours) * (120 minutes)

Simplifying the calculation:

Total distance from point A after 2 hours = (7 km / 105) * 120 + (10.5 km / 3) * 120

Now, let's calculate this:

Total distance from point A after 2 hours = (7 km / 105) * 120 + (10.5 km / 3) * 120

Using a calculator, we find that the total distance from point A after 2 hours is approximately 16 km.

Answer

The tourist will be approximately 16 km away from point A after 2 hours.