Question

Автомобилист при скорости 96км/ч проехал путь от одного города до другог за 4 часа. При какой скорости он проедет этот же путь за 6 часов? Сколько часов придётся потратить на тот же путь автомобилисту, если половину его он проедет со скоростью 96км/ч, а затем снизит скорость в 2 раза? Решать не через х

Answer 1

Problem Statement

Автомобилист при скорости 96 км/ч проехал путь от одного города до другого за 4 часа. При какой скорости он проедет этот же путь за 6 часов? Сколько часов придется потратить на тот же путь автомобилисту, если половину его он проедет со скоростью 96 км/ч, а затем снизит скорость в 2 раза?

Solution

To find the speed at which the motorist will travel the same distance in 6 hours, we can use the formula:

Speed = Distance / Time

Given that the distance remains the same, we can set up the equation as follows:

96 km/h = Distance / 4 hours

Solving for the distance, we find:

Distance = 96 km/h * 4 hours = 384 km

Now, to find the speed at which the motorist will travel the same distance in 6 hours, we can use the same formula:

Speed = Distance / Time

Substituting the values, we have:

Speed = 384 km / 6 hours = 64 km/h

Therefore, the motorist will need to travel at a speed of 64 km/h to cover the same distance in 6 hours.

Next, let's calculate the time it will take for the motorist to cover the same distance if they travel half of it at a speed of 96 km/h and then reduce the speed by 2 times.

The distance covered at a speed of 96 km/h is half of the total distance, which is 384 km / 2 = 192 km.

To find the time taken to cover this distance, we can use the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 192 km / 96 km/h = 2 hours

Now, the remaining distance to be covered is also 192 km.

If the motorist reduces the speed by 2 times, the new speed will be 96 km/h / 2 = 48 km/h.

To find the time taken to cover this distance, we can again use the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 192 km / 48 km/h = 4 hours

Therefore, the motorist will need to spend a total of 2 hours + 4 hours = 6 hours to cover the same distance if they travel half of it at a speed of 96 km/h and then reduce the speed by 2 times.

I hope this helps! Let me know if you have any further questions.