Question

Ребята срочно нужно!Первый велосипедист выехал из посёлка по шоссе со скоростью 24 км/ч. Через час после него со скоростью 21 км/ч из того же посёлка в том же направлении выехал второй велосипедист, а ещё через час — третий. Найдите скорость третьего велосипедиста, если сначала он догнал второго, а через 9 часов после этого догнал первого.

Answer 1

Ответ: 3 велосипедист ехал со скоростью 30 км/ч

Answer 2

Problem Analysis

We are given the following information: - The first cyclist travels at a speed of 24 km/h. - The second cyclist starts one hour after the first cyclist and travels at a speed of 21 km/h. - The third cyclist starts one hour after the second cyclist.

We need to find the speed of the third cyclist, given that they catch up to the second cyclist first and then catch up to the first cyclist 9 hours later.

Solution

Let's assume the distance between the village and the catch-up point is D km.

To find the speed of the third cyclist, we can set up the following equation based on the time and distance traveled by each cyclist:

Distance traveled by the first cyclist = Distance traveled by the second cyclist + Distance traveled by the third cyclist

Using the formula Distance = Speed × Time, we can rewrite the equation as:

24 km/h × (t + 9 hours) = 21 km/h × t + v km/h × (t - 1 hour)

Simplifying the equation, we get:

24t + 216 = 21t + vt - v

Simplifying further, we get:

3t + 216 = vt - v

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

Calculation

Let's solve the equation to find the value of v.

3t + 216 = vt - v

3t + 216 = v(t - 1)

Expanding the equation, we get:

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