Question

Одно и то же расстояние в 141 м сначала прошли шагами по 50см , а затем по 60 см . сколько раз совпали следы ?

Answer 1

НОК (50;60)=300 (см) = 3 м, 141/3=47 раз

Ответ: шаги будут совпадать каждые 3 метра, 47 раз

Answer 2

50 х 6 = 300 см

60 х 5 = 300 см

то есть каждые 300 см

300 см = 3 м

141 : 3 = 47 раз

Answer 3

Calculating the Number of Times Footprints Coincide

To calculate the number of times the footprints coincide, we can use the following approach:

1. Convert the given distances to the same unit: Convert 141 meters to centimeters for consistency. 2. Calculate the number of steps for each distance: Divide the distance by the length of each step to find the number of steps taken. 3. Find the least common multiple (LCM) of the step counts: This will give us the distance at which the footprints coincide.

Let's proceed with the calculations.

Step 1: Convert the Given Distances to the Same Unit

The given distance is 141 meters. Converting this to centimeters: - 141 meters = 14100 centimeters

Step 2: Calculate the Number of Steps for Each Distance

- For the first set of steps (50 cm each): - Number of steps = 14100 / 50 = 282 - For the second set of steps (60 cm each): - Number of steps = 14100 / 60 = 235

Step 3: Find the Least Common Multiple (LCM) of the Step Counts

The LCM of 282 and 235 is 33170.

Conclusion

The footprints will coincide every 33170 centimeters.