Question

С двух станций расстояние между которыми 820 км в 7 часов утра вышли навстречу друг другу два поезда. Скорость первого поезда 75 км ч а второго на 16 км больше скорости первого. На каком расстоянии друг от друга будут поезда через 4 часа. ПОМОГИТЕ !!!!!

Answer 1

Problem Analysis

We have two trains traveling towards each other from two different stations. The distance between the stations is 820 km. The first train is traveling at a speed of 75 km/h, and the second train is traveling at a speed that is 16 km/h faster than the first train. We need to find the distance between the trains after 4 hours.

Solution

To find the distance between the trains after 4 hours, we can calculate the distance each train has traveled and then subtract the sum of their distances from the total distance between the stations.

Let's calculate the distance traveled by each train after 4 hours.

The distance traveled by the first train can be calculated using the formula: distance = speed * time. - Speed of the first train = 75 km/h - Time = 4 hours - Distance traveled by the first train = 75 km/h * 4 hours = 300 km

The speed of the second train is 16 km/h faster than the first train, so the speed of the second train is 75 km/h + 16 km/h = 91 km/h.

The distance traveled by the second train can be calculated using the same formula: - Speed of the second train = 91 km/h - Time = 4 hours - Distance traveled by the second train = 91 km/h * 4 hours = 364 km

Now, let's calculate the distance between the trains after 4 hours: - Total distance between the stations = 820 km - Distance traveled by the first train = 300 km - Distance traveled by the second train = 364 km - Distance between the trains after 4 hours = Total distance - (Distance traveled by the first train + Distance traveled by the second train) - Distance between the trains after 4 hours = 820 km - (300 km + 364 km) = 156 km

Therefore, the distance between the trains after 4 hours will be 156 km.

Answer

The distance between the two trains after 4 hours will be 156 km.

Verification

Let's verify the answer using the given information.

The first train is traveling at a speed of 75 km/h, and the second train is traveling at a speed that is 16 km/h faster than the first train. After 4 hours, the first train will have traveled a distance of 75 km/h * 4 hours = 300 km, and the second train will have traveled a distance of 91 km/h * 4 hours = 364 km.

The total distance between the stations is 820 km. If we subtract the sum of the distances traveled by the two trains (300 km + 364 km = 664 km) from the total distance, we get 820 km - 664 km = 156 km, which matches our calculated answer.

Therefore, the answer has been verified.

Conclusion

The distance between the two trains after 4 hours will be 156 km.