Question

Расстояние между городами 665 км.Одновременно из этих городов выехало 2 мотоциклиста.Через 7 часов они встретелись.С какой скоростью ехали мотоциклисты,если один из них проезжал за 1 час на 7 км больше второго?

Answer 1

665-7*7=616 км это еслибы у них скорость была одиниковой 
616/2=308 км проехал 1
308/7=44 км/ч скорость первого
44+7=51 км/ч второго 

Answer 2

Problem Analysis

To solve this problem, we can use the formula:

distance = speed * time

We know the distance between the two cities is 665 km and the total time it took for the two motorcyclists to meet is 7 hours. We also know that one of the motorcyclists traveled 7 km more than the other in 1 hour.

Calculating the Speed of the Motorcyclists

Let's denote the speed of the first motorcyclist as x km/h and the speed of the second motorcyclist as (x - 7) km/h.

Using the formula distance = speed * time, we can set up the following equations:

1. For the first motorcyclist: distance = x * 7 2. For the second motorcyclist: distance = (x - 7) * 7

By solving these equations, we can find the speeds of the two motorcyclists.

Solving the Equations

Using the given information and the equations, we can solve for the speeds of the two motorcyclists.

The first equation gives us the distance traveled by the first motorcyclist in 7 hours, which is 7x km.

The second equation gives us the distance traveled by the second motorcyclist in 7 hours, which is 7(x - 7) km.

Since the total distance between the two cities is 665 km, we can set up the equation:

7x + 7(x - 7) = 665

Solving this equation will give us the value of x, which represents the speed of the first motorcyclist.

Calculating the Speeds

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

7x + 7(x - 7) = 665

Expanding and simplifying the equation: 7x + 7x - 49 = 665 14x - 49 = 665 14x = 714 x = 51

So, the speed of the first motorcyclist is 51 km/h.

Finding the Speed of the Second Motorcyclist

Now that we have the speed of the first motorcyclist, we can find the speed of the second motorcyclist, which is (x - 7).

51 - 7 = 44

So, the speed of the second motorcyclist is 44 km/h.

Conclusion

The first motorcyclist was traveling at a speed of 51 km/h, and the second motorcyclist was traveling at a speed of 44 km/h.