Question

один день поезд был в дороге 7ч, а второй 13 ч. второй поезд проехал на 360 км больше чем первый. сколько километров проехал каждый поезд если они двигались с одинаковой скоростью?

Answer 1

13-7=6 ч ехал дольше 2-й

360/6=60 км/ч скорость поезда

60*7=420 км проехал 1 поезд

60*13=780 км проехал второй поезд

Answer 2

Calculating the Distance Traveled by Each Train

To calculate the distance traveled by each train, we can use the information provided. Let's denote the time the first train was on the road as t1 and the time the second train was on the road as t2. The second train traveled 360 km more than the first train.

Given: - First train's time on the road, t1 = 7 hours - Second train's time on the road, t2 = 13 hours - Additional distance traveled by the second train = 360 km

We can use the formula: distance = speed × time. Since the trains are moving at the same speed, we can calculate the distance traveled by each train using the provided information.

Calculating the Distance Traveled by the First Train

The distance traveled by the first train can be calculated using the formula distance = speed × time. Since the speed of both trains is the same, we can use the formula to calculate the distance traveled by the first train.

The distance traveled by the first train is given by: distance1 = speed × t1

Calculating the Distance Traveled by the Second Train

The distance traveled by the second train can also be calculated using the same formula distance = speed × time. Since the speed of both trains is the same, we can use the formula to calculate the distance traveled by the second train.

The distance traveled by the second train is given by: distance2 = speed × t2

Solving for the Distance Traveled by Each Train

We know that the second train traveled 360 km more than the first train. Therefore, we can set up the equation: distance2 = distance1 + 360

Substituting the expressions for distance1 and distance2, we get: speed × t2 = speed × t1 + 360

Since the speeds are the same, we can cancel them out and solve for the distances.

Calculating the Distances

Let's calculate the distances traveled by each train using the provided information.

The first train's time on the road, t1 = 7 hours. The second train's time on the road, t2 = 13 hours. The additional distance traveled by the second train = 360 km.

Using the formula distance = speed × time, we can calculate the distances traveled by each train.

The distance traveled by the first train, distance1 = speed × t1. The distance traveled by the second train, distance2 = speed × t2.

Substituting the given values, we can solve for the distances traveled by each train.