Question

Помогите решить!!!!! Из города выехал велосипедист со скоростью 13,4 км/ч. Через 2 часа вслед за ним выехал другой велосипедист, скорость которого 17,4 км/ч. Через сколько часов после своего выезда второй велосипедист догонит первого?

Answer 1

13,4*2=26,8 км проедет первый велосипедист за 2 часа-расстояние между велосипедистами
17,4-13,4=4(км/ ч)-скорость удаления
26,8:4=6,7(ч) второй догонит первого
ответ:через 6,7 часа

Answer 2

Problem Analysis

We are given that a cyclist leaves a city with a speed of 13.4 km/h. After 2 hours, another cyclist leaves the same city with a speed of 17.4 km/h. We need to determine how many hours it will take for the second cyclist to catch up to the first cyclist.

Solution

To solve this problem, we can set up an equation based on the relative speeds of the two cyclists. Let's assume that it takes "t" hours for the second cyclist to catch up to the first cyclist.

The distance traveled by the first cyclist in "t" hours is given by: Distance1 = Speed1 * Time1

The distance traveled by the second cyclist in "t" hours is given by: Distance2 = Speed2 * Time2

Since the second cyclist starts 2 hours after the first cyclist, the time for the second cyclist is given by: Time2 = t - 2

Since both cyclists will have traveled the same distance when the second cyclist catches up to the first cyclist, we can set up the equation: Distance1 = Distance2

Substituting the values, we get: Speed1 * Time1 = Speed2 * Time2

Substituting the expressions for Time1 and Time2, we get: Speed1 * t = Speed2 * (t - 2)

Now, we can solve this equation to find the value of "t".

Calculation

Let's substitute the given values into the equation and solve for "t".

Speed1 = 13.4 km/h Speed2 = 17.4 km/h

Substituting these values into the equation, we get: 13.4 * t = 17.4 * (t - 2)

Simplifying the equation, we get: 13.4t = 17.4t - 34.8

Bringing the terms with "t" to one side, we get: 17.4t - 13.4t = 34.8

Simplifying further, we get: 4t = 34.8

Dividing both sides by 4, we get: t = 8.7

Answer

Therefore, it will take approximately 8.7 hours for the second cyclist to catch up to the first cyclist.