Question

Два велосипедиста одновременно отправилась в 117-километровый пробег.Первый ехал со скоростью,на 4 км/ч большей, чем скорость второго,и прибыл к финишу на 4 часа раньше второго. Найдите скорость велосипедиста, пришедшего к финишу вторым.Ответ дайте в км/ч.

Answer 1

Пусть скорость 1 велос.=х, тогда скорость 2-ого = х+4 Составим уравнение
117/(х+4)+4=117/х
Упростим:
Х^2+4х-117=0
Х1=9. Х2=-13 не явл. Реш.
Ответ: 9
Вот и все! Если что то не понятно пиши:)

Answer 2

Problem Analysis

We are given that two cyclists simultaneously started a 117-kilometer race. The first cyclist traveled at a speed 4 km/h faster than the second cyclist and finished 4 hours earlier than the second cyclist. We need to find the speed of the cyclist who finished second.

Solution

Let's assume the speed of the second cyclist is x km/h. Then the speed of the first cyclist would be x + 4 km/h.

We can use the formula distance = speed × time to calculate the time taken by each cyclist to complete the race.

For the first cyclist: - Distance = 117 km - Speed = x + 4 km/h - Time = 117 / (x + 4) hours

For the second cyclist: - Distance = 117 km - Speed = x km/h - Time = 117 / x hours

According to the problem, the first cyclist finished 4 hours earlier than the second cyclist. So we can set up the equation:

117 / (x + 4) = 117 / x + 4

Let's solve this equation to find the value of x.

Calculation

To solve the equation, we can cross-multiply:

117 * x = 117 * (x + 4) + 4 * 117

117x = 117x + 468 + 4 * 117

117x - 117x = 468 + 4 * 117

0 = 468 + 468

0 = 936

Since the equation leads to a contradiction (0 = 936), there is no solution. This means that the problem is inconsistent or there might be an error in the given information.

Please double-check the information provided and ensure that it is accurate.