Question

Из города в противоположном направлении одновременно выехали два велосипедиста. Через 3 ч расстояние через ними было 78км. Чему равна скорость второго велосипедиста если известно , что первый велосипедист проехал за 1 ч 2 км больше второго?

Answer 1

Пусть скорость первого  х км/ч, тогда скорость второго х+2.  Скорость удаления х+2+2=2х+2. За 3 часа они удалились друг от друга на расстояние (2х+2)3. По условию это расстояние равно 78 км.
Уравнение:
3(2x+2)=78,
 2x+2=26,
  2x=24,
  x=12, т.е. скорость первого велосипедиста равна 12 км/ч 
Ответ: 12 км/ч

Answer 2

S - 78 км
t - 3 ч
v1 -  (х + 2) км/ч 
v2 - х км
1) 78 : 3 = 26 (км/ч) - v удаления
2) х + (х + 2) = 26
х + х + 2 = 26
2х + 2 = 26
2х = 26 - 2
2х = 24
х = 24 : 2
х = 12 (км/ч)
Ответ: 12 км/ч скорость второго велосипедиста.
 

Answer 3

Problem Analysis

We are given that two cyclists start simultaneously from a city in opposite directions. After 3 hours, the distance between them is 78 km. We need to find the speed of the second cyclist, given that the first cyclist has traveled 2 km more than the second cyclist in 1 hour.

Solution

Let's assume the speed of the first cyclist is x km/h. Since the first cyclist has traveled 2 km more than the second cyclist in 1 hour, the speed of the second cyclist can be represented as x - 2 km/h.

To find the speed of the second cyclist, we can use the formula:

Distance = Speed × Time

After 3 hours, the distance between the two cyclists is 78 km. Therefore, we can write the equation:

78 = (x + x - 2) × 3

Simplifying the equation:

78 = (2x - 2) × 3

78 = 6x - 6

Adding 6 to both sides:

84 = 6x

Dividing both sides by 6:

x = 14

Therefore, the speed of the first cyclist is 14 km/h. Since the speed of the second cyclist is x - 2, the speed of the second cyclist is:

14 - 2 = 12 km/h

So, the speed of the second cyclist is 12 km/h.

Answer

The speed of the second cyclist is 12 km/h.