Question

Турист прошел 36 км за 6 часов. Вторую половину пути он шел со скоростью в 3 раза меньше, чем первую. С какой скоростью шел турист первую половину пути?

Answer 1

Кажется 6. Так как 36:6=6

Answer 2

Problem Analysis

A tourist walked a total of 36 km in 6 hours. The second half of the distance was covered at a speed that was 3 times slower than the first half. We need to determine the speed at which the tourist walked during the first half of the distance.

Solution

Let's assume that the speed of the tourist during the first half of the distance is x km/h. Since the second half of the distance was covered at a speed 3 times slower than the first half, the speed during the second half would be x/3 km/h.

To find the time taken to cover the first half of the distance, we can use the formula: time = distance / speed. The distance covered during the first half is half of the total distance, which is 36 km / 2 = 18 km. Therefore, the time taken to cover the first half is 18 km / x km/h = 18/x hours.

Similarly, the time taken to cover the second half of the distance is 18 km / (x/3) km/h = 54/x hours.

Since the total time taken to cover the entire distance is 6 hours, we can write the equation: time taken for the first half + time taken for the second half = total time.

Substituting the values, we get: 18/x + 54/x = 6.

To solve this equation, we can multiply both sides by x to eliminate the denominator: 18 + 54 = 6x.

Simplifying further, we have: 72 = 6x.

Dividing both sides by 6, we get: x = 12.

Therefore, the speed at which the tourist walked during the first half of the distance is 12 km/h.

Answer

The tourist walked the first half of the distance at a speed of 12 km/h.

Explanation

The total distance covered by the tourist is 36 km. The second half of the distance was covered at a speed 3 times slower than the first half. Therefore, the speed during the second half is 12 km/h divided by 3, which is 4 km/h. The time taken to cover the first half of the distance is 18 km divided by 12 km/h, which is 1.5 hours. The time taken to cover the second half of the distance is 18 km divided by 4 km/h, which is 4.5 hours. The total time taken to cover the entire distance is 1.5 hours + 4.5 hours, which is 6 hours. Therefore, the speed at which the tourist walked during the first half of the distance is 12 km/h.