Question

Расстояние между городами 37,8 км.Навстречу друг другу езалить два велосипедиста скорость первого 14 2/5 (четырнадцать целых две пятых)км/ч,скорость второго 75% от скорости первого,найдите время через которое они встретятся

Answer 1

1. сначала переводим скорость первого велосепедиста в десятичную дробь: 14 2/5 = 14,4 км/ч (т.е. 14*5+2 / 5 = 14,4)
2. ищем скорость второго: 14,4 км/ч :100 *75 =10,8 км/ч
3. находим время: 37,8 : (14,4+10,8) = 1,5 часа
встретятся через 1,5 часа

Answer 2

Calculating the Time for Cyclists to Meet

To find the time it takes for the two cyclists to meet, we can use the formula:

Time = Distance / Relative Speed

Where: - Distance = 37.8 km (the distance between the two cities) - Relative Speed = Sum of their speeds when they are moving towards each other

First, let's calculate the speed of the second cyclist.

The speed of the second cyclist is 75% of the speed of the first cyclist, whose speed is 14 2/5 km/h.

So, the speed of the second cyclist is: ``` 75% of 14 2/5 km/h = 0.75 * 14 2/5 km/h ``` Let's calculate the speed of the second cyclist.

Calculating the Speed of the Second Cyclist

The speed of the second cyclist is 75% of the speed of the first cyclist, whose speed is 14 2/5 km/h.

The speed of the second cyclist is: ``` 0.75 * 14 2/5 km/h = 10.8 km/h ``` The speed of the second cyclist is 10.8 km/h.

Now, let's calculate the relative speed of the two cyclists.

Calculating the Relative Speed

The relative speed of the two cyclists is the sum of their speeds when they are moving towards each other.

The relative speed is: ``` 14 2/5 km/h + 10.8 km/h = 14.4 km/h ``` The relative speed of the two cyclists is 14.4 km/h.

Now, we can calculate the time it takes for the two cyclists to meet.

Calculating the Time

Using the formula: ``` Time = Distance / Relative Speed ``` Substituting the values: ``` Time = 37.8 km / 14.4 km/h ``` Let's calculate the time.

Calculating the Time

``` Time = 37.8 km / 14.4 km/h = 2.625 hours ``` The time it takes for the two cyclists to meet is 2.625 hours.

Therefore, they will meet in approximately 2.625 hours.