Один мотоциклист был в пути 3 ч ,другой 5ч .Они ехали с одинаковой скоростью. Второй проехал на 80
км больше первого .Сколько километров проехал каждый?ПОМОГИТЕ ПРОШУ!!!!!!!!!!!!ОЧЕНЬ НУЖНО!!!!!!!!!!Ответы на вопрос
80/2=40 км/час скорость мотоциклистов
1 проехал 40*3=120 км
2 проехал 40*5=200 км
Problem Analysis
We have two motorcyclists who traveled for different durations but at the same speed. The second motorcyclist traveled 80 km more than the first motorcyclist. We need to determine the distance traveled by each motorcyclist.Solution
Let's assume the speed of both motorcyclists is x km/h.The first motorcyclist traveled for 3 hours and the second motorcyclist traveled for 5 hours.
We can use the formula distance = speed * time to calculate the distance traveled by each motorcyclist.
For the first motorcyclist: distance1 = speed * time1 = x * 3
For the second motorcyclist: distance2 = speed * time2 = x * 5
We also know that the second motorcyclist traveled 80 km more than the first motorcyclist: distance2 = distance1 + 80
Now we can solve these equations to find the values of distance1 and distance2.
Calculation
Let's substitute the value of distance2 from the third equation into the second equation: x * 5 = x * 3 + 80Simplifying the equation: 5x = 3x + 80
Subtracting 3x from both sides: 2x = 80
Dividing both sides by 2: x = 40
Now we can substitute the value of x into the equations for distance1 and distance2 to find the distances traveled by each motorcyclist.
For the first motorcyclist: distance1 = 40 * 3 = 120 km
For the second motorcyclist: distance2 = 40 * 5 = 200 km
Answer
The first motorcyclist traveled 120 km and the second motorcyclist traveled 200 km.Please let me know if you need any further assistance!
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