Question

Из двух городов одновременно в одном направлении выехали два велосипедиста. Скорость первого - 18,5 км.ч. Скорость второго составляет три пятых скорости первого. Найдите расстояние между городами, если первый догонит второго через 1 час 12 минут.

Answer 1

S = v * t - формула пути

А -------------------  S (км) - ? ----------------- В
v = 18,5 км/ч ---->                                     v = 18,5 * 3/5  (км/ч) ---->
t = 1 ч 12 мин = 1 целая 12/60 ч = 1 целая 1/5 ч = 1,2 ч

1) 18,5 * 3/5 = 18,5 * 0,6 = 11,1 (км/ч) - скорость второго велосипедиста;
2) 18,5 - 11,1 = 7,4 (км/ч) - скорость сближения при движении вдогонку;
3) 7,4 * 1,2 = 8,88 (км) - расстояние между городами.
Ответ: 8,88 км.

Answer 2

Calculating the Distance Between Two Cities

To find the distance between the two cities, we can use the formula: distance = speed * time. Let's calculate the distance based on the given information.

Given: - Speed of the first cyclist = 18.5 km/h - Speed of the second cyclist = three-fifths of the speed of the first cyclist - Time for the first cyclist to catch up to the second cyclist = 1 hour 12 minutes

First, let's convert the time to hours for easier calculation: 1 hour 12 minutes = 1 + 12/60 = 1.2 hours

Now, we can calculate the distance traveled by each cyclist in the given time.

Calculations

- Distance traveled by the first cyclist = 18.5 km/h * 1.2 h = 22.2 km - Distance traveled by the second cyclist = (3/5) * 18.5 km/h * 1.2 h = 13.32 km

Since the first cyclist catches up to the second cyclist, the distance traveled by both cyclists is the same. Therefore, the distance between the two cities is the sum of the distances traveled by each cyclist.

Result

The distance between the two cities is 22.2 km + 13.32 km = 35.52 km.