Question

Составить и решить уравнение две машины движутся с одинаковой скоростью.Время,за которое первая машина проехала 195 км,на 2 ч меньше времени,за которое вторая машина проехала 325 км.За сколько часов проехала вторая машина 325 км

Answer 1

                 V                t                  S
             
1 маш      x           195/x                195
2 маш     x             325/x                325





x= 65                    

Ответ 5 ч

Answer 2

Problem Statement

We are given two cars moving at the same speed. The first car travels a distance of 195 km in 2 hours less time than the second car takes to travel a distance of 325 km. We need to find out how many hours it took for the second car to travel 325 km.

Solution

Let's assume the speed of both cars is v km/h.

We can use the formula distance = speed × time to solve this problem.

For the first car: - Distance = 195 km - Time = t hours (unknown)

For the second car: - Distance = 325 km - Time = t + 2 hours (since the first car took 2 hours less time)

Using the formula, we can set up the following equations:

Equation 1: 195 = v × t Equation 2: 325 = v × (t + 2)

To solve this system of equations, we can use substitution or elimination.

Let's solve it using substitution:

From Equation 1, we can express t in terms of v: t = 195 / v

Substituting this value of t into Equation 2, we get: 325 = v × (195 / v + 2)

Simplifying the equation: 325 = 195 + 2v

Rearranging the equation: 2v = 325 - 195 2v = 130 v = 65

Now, we can substitute the value of v back into Equation 1 to find t: t = 195 / 65 t = 3

Therefore, it took the second car 3 + 2 = 5 hours to travel 325 km.

Answer

The second car took 5 hours to travel a distance of 325 km.