Question

По одной дороге из села в город можно доехать на мотоцикле за 4ч, а по другой с той же скорость за 6 ч.Эта дорога на 120 км длинее первой.Какова длина каждой из этих дорог?

Answer 1

1) 6-4 = 2 часа разница во времени
2) 120/2 = 60  км/ч скорость мотоцикла
3) 4*60 = 240 км -  короткая дорога
4) 6*60 = 360 км - длинная дорога

Answer 2

1) 6 - 4 = 2 ч - разница 
2) 120 ÷ 2 = 60 км/ч - скорость мотика
3) 60 × 4 = 240 км - 1 дорога
4) 60 × 6 = 360 км - 2 дорога

Answer 3

Calculation of Road Lengths

To determine the lengths of the two roads, let's assign variables to the unknowns. Let's call the length of the first road "x" kilometers and the length of the second road "x + 120" kilometers.

According to the information provided, it takes 4 hours to travel from the village to the city on the first road and 6 hours to travel the same distance on the second road at the same speed.

Calculation of Speed

To calculate the speed, we can use the formula: speed = distance / time.

For the first road, the speed is x kilometers / 4 hours. For the second road, the speed is (x + 120) kilometers / 6 hours.

Since the speeds are the same, we can set up an equation:

x / 4 = (x + 120) / 6

Solving the Equation

To solve the equation, we can cross-multiply:

6x = 4(x + 120)

Simplifying the equation:

6x = 4x + 480

Subtracting 4x from both sides:

2x = 480

Dividing both sides by 2:

x = 240

Calculation of Road Lengths

Now that we have the value of "x," we can calculate the lengths of the two roads.

The length of the first road is 240 kilometers. The length of the second road is 240 + 120 = 360 kilometers.

Therefore, the first road is 240 kilometers long, and the second road is 360 kilometers long.