Question

если автомобиль увеличит скорость с 50 км/ч до 60 км/ч,то приедет в пункт назначения на 2 часа раньше. какое расстояние необходимо проехать автомобилю? Буду благодарна за решение.

Answer 1

X-расстояние
x/50=x/60+2
60х=50х+6000
х=600

Answer 2

Problem Analysis

To solve this problem, we need to find the distance that the car needs to travel. We are given that if the car increases its speed from 50 km/h to 60 km/h, it will arrive at the destination 2 hours earlier.

Let's assume that the original travel time at a speed of 50 km/h is T hours. Therefore, the new travel time at a speed of 60 km/h will be T - 2 hours.

We can use the formula: Distance = Speed × Time

To find the distance, we need to calculate the difference in distance traveled at the two speeds.

Solution

Let's calculate the distance using the given information.

1. Let's assume the distance to be traveled is D km. 2. At a speed of 50 km/h, the time taken to travel the distance D is D/50 hours. 3. At a speed of 60 km/h, the time taken to travel the distance D is D/60 hours. 4. According to the given information, the new travel time is 2 hours less than the original travel time. Therefore, we have the equation: D/50 - D/60 = 2. 5. To solve this equation, we can find a common denominator and simplify it. - The common denominator is 300. - Multiplying the equation by 300, we get: 6D - 5D = 600. - Simplifying, we have: D = 600 km.

Therefore, the car needs to travel a distance of 600 km.

Answer

If the car increases its speed from 50 km/h to 60 km/h, it needs to travel a distance of 600 km to arrive at the destination 2 hours earlier.

Please let me know if you need any further assistance!