Question

1) Реши задачу разными способами. За 6 ч пешеход прошел 24 км. Сколько км проедет за это же время всадник, если он будет двигаться втрое больше? 2) Как измениться решение задачи, если время движения всадника будет вдвое меньше, чем время движения пешехода. Запиши решение новой задача.

Answer 1

1)24:6=4км.ч пешеход
2)4•3=12км.ч всадник
3)12•6=72км всадник


1)24:6=4км.ч
2)6:2=3ч всадник
3)4•3=12км всадник

Answer 2

Problem 1: Distance Covered by a Pedestrian and a Horse Rider

To solve this problem, we are given that a pedestrian covers a distance of 24 km in 6 hours. We need to find out how far a horse rider will travel in the same amount of time if they move three times faster than the pedestrian.

Let's solve this problem in two different ways.

Method 1: Using Proportions

We can set up a proportion to solve this problem. The ratio of the distance covered by the pedestrian to the time taken is equal to the ratio of the distance covered by the horse rider to the time taken.

Let's denote the distance covered by the horse rider as 'x' km.

The proportion can be set up as:

24 km / 6 hours = x km / 6 hours

To find the value of 'x', we can cross-multiply and solve for 'x':

24 km * 6 hours = 6 hours * x km

144 km = 6x

Dividing both sides of the equation by 6, we get:

x = 24 km

Therefore, the horse rider will travel 24 km in the same amount of time.

Method 2: Using Ratios

Another way to solve this problem is by using ratios. We know that the horse rider moves three times faster than the pedestrian. So, the ratio of the distance covered by the horse rider to the distance covered by the pedestrian is 3:1.

Since the pedestrian covers a distance of 24 km, we can calculate the distance covered by the horse rider by multiplying 24 km by the ratio:

Distance covered by the horse rider = 24 km * (3/1) = 72 km

Therefore, the horse rider will travel 72 km in the same amount of time.

Problem 2: Changing the Time of the Horse Rider

In the second problem, we are asked to determine how the solution changes if the time taken by the horse rider is half the time taken by the pedestrian.

Let's solve this problem using the second method mentioned above.

We know that the horse rider moves three times faster than the pedestrian. If the time taken by the horse rider is half the time taken by the pedestrian, then the ratio of their times is 1:2.

Using the same ratio, we can calculate the distance covered by the horse rider:

Distance covered by the horse rider = 24 km * (3/1) = 72 km

Therefore, even if the time taken by the horse rider is half the time taken by the pedestrian, the distance covered by the horse rider remains the same, which is 72 km.

In summary: 1. In the first problem, the horse rider will travel 24 km in the same amount of time as the pedestrian. 2. In the second problem, even if the time taken by the horse rider is half the time taken by the pedestrian, the distance covered by the horse rider remains the same, which is 72 km.

I hope this helps! Let me know if you have any further questions.