Question

Расстояние между двумя станциями один поезд проходит за 1 час зо минут, а второй на 10 мин быстрее. найдите это расстояние, если скорость второго поезда на 10км/ч больше скорости первого

Answer 1

S/x=1,5s/(x+10)=4/31,5x=4/3x+40/31/6x=40/3x=6*40/3=80s=1,5*80=120

Answer 2

Problem Analysis

We are given two trains, where the first train covers a certain distance in 1 hour and 30 minutes, and the second train covers the same distance in 1 hour and 20 minutes. The speed of the second train is 10 km/h faster than the speed of the first train. We need to find the distance between the two stations.

Solution

Let's denote the distance between the two stations as d.

We know that the first train covers the distance in 1 hour and 30 minutes, which is equivalent to 1.5 hours. The speed of the first train can be denoted as v km/h.

Therefore, the distance covered by the first train can be calculated using the formula: distance = speed × time.

For the first train, the distance covered is d km and the time taken is 1.5 hours, so we have: d = v × 1.5.

Similarly, the second train covers the same distance in 1 hour and 20 minutes, which is equivalent to 1.33 hours. The speed of the second train is 10 km/h faster than the speed of the first train, so the speed of the second train can be denoted as v + 10 km/h.

Using the same formula, the distance covered by the second train can be calculated as: d = (v + 10) × 1.33.

Now we have two equations: 1. d = v × 1.5 2. d = (v + 10) × 1.33

We can solve these equations to find the value of d.

Calculation

Let's solve the equations to find the value of d.

From equation 1, we have: d = v × 1.5

From equation 2, we have: d = (v + 10) × 1.33

Setting the two equations equal to each other, we get: v × 1.5 = (v + 10) × 1.33

Simplifying the equation, we have: 1.5v = 1.33v + 13.3

Subtracting 1.33v from both sides, we get: 0.17v = 13.3

Dividing both sides by 0.17, we get: v = 78.235

Now that we have the value of v, we can substitute it back into either equation to find the value of d.

Using equation 1, we have: d = 78.235 × 1.5

Calculating the value, we get: d ≈ 117.35

Therefore, the distance between the two stations is approximately 117.35 km.

Answer

The distance between the two stations is approximately 117.35 km.