Question

Турист заметил, что если он будет делать 2 шага в секунду, то мост длинной 260м он преодолеет за 4мин 20сек.а)Какова длина шага туриста?б)За какое время он преодолеет мост, если увеличить шаг на 15 см?

Answer 1

1) 4мин20сек=4*60+20=260с

2) 260:260=1 м - длина 2 шагов туриста

3) 1:2=0.5 м=50 см - длина шага туриста

4) 50+15=65 см - новая длина шага туриста

5) 65*2=130 см=1.3 м - новая длина 2 шагов туриста

6) 260:1.3=200 с=3 мин 20 с - за такое время турист одолеет мост новым шагом

Answer 2

Calculation of the Tourist's Step Length

To calculate the length of the tourist's step, we can use the information provided in the question. The tourist noticed that if they take 2 steps per second, they can cover a bridge of 260 meters in 4 minutes and 20 seconds.

To find the length of each step, we need to determine the total number of steps taken by the tourist in 4 minutes and 20 seconds.

First, let's convert the time taken to seconds: - 4 minutes = 4 * 60 = 240 seconds - 20 seconds

The total time taken is 240 seconds + 20 seconds = 260 seconds.

Next, let's calculate the total number of steps taken: - 2 steps per second * 260 seconds = 520 steps

Now, we can find the length of each step by dividing the total distance covered (260 meters) by the total number of steps taken (520 steps): - 260 meters / 520 steps = 0.5 meters per step.

Therefore, the length of the tourist's step is 0.5 meters.

Calculation of the Time Taken with Increased Step Length

Now, let's calculate the time it would take for the tourist to cover the bridge if they increase their step length by 15 cm.

To find the new step length, we add 15 cm to the original step length of 0.5 meters: - 0.5 meters + 0.15 meters = 0.65 meters.

Next, we need to calculate the new total number of steps taken by dividing the total distance (260 meters) by the new step length (0.65 meters): - 260 meters / 0.65 meters = 400 steps.

Finally, we can calculate the time taken by dividing the total number of steps (400 steps) by the original step rate of 2 steps per second: - 400 steps / 2 steps per second = 200 seconds.

Therefore, if the tourist increases their step length by 15 cm, it would take them 200 seconds to cover the bridge.

Please note that these calculations are based on the information provided in the question and may not account for factors such as variations in step length or walking speed.