Question

Помогите... Во время погони за жертвой за одно и тоже время гепард пробегает 1650 м, а лев - 1210 м. Найдите скорость каждого, если скорость льва на 8 м/с меньше.

Answer 1

1210+8х=1650

8х=1650-1210

8х=440

х=440:8

х=55сек-время погони.

1)1650:55=30м/сек-скорость гепарда.

2)1210:55=22м/сек-скорость льва.

Answer 2

Calculation of Speeds

To find the speeds of the cheetah and the lion, we need to use the formula:

Speed = Distance / Time

Given that the cheetah runs 1650 meters and the lion runs 1210 meters in the same amount of time, we can set up the following equation:

1650 / Cheetah's Time = 1210 / Lion's Time

We also know that the lion's speed is 8 m/s slower than the cheetah's speed. Therefore, we can express the lion's speed in terms of the cheetah's speed:

Lion's Speed = Cheetah's Speed - 8 m/s

Let's solve these equations to find the speeds of the cheetah and the lion.

Solution

Let's assume the cheetah's speed is x m/s.

Using the formula for speed, we can write the equation for the cheetah's time:

1650 / x = Cheetah's Time

Similarly, for the lion:

1210 / (x - 8) = Lion's Time

Now, we can equate the two times:

1650 / x = 1210 / (x - 8)

To solve this equation, we can cross-multiply:

1650 * (x - 8) = 1210 * x

Simplifying the equation:

1650x - 13200 = 1210x

440x = 13200

x = 13200 / 440

x = 30

Therefore, the cheetah's speed is 30 m/s.

Substituting this value back into the equation for the lion's speed:

Lion's Speed = 30 - 8

Lion's Speed = 22 m/s

Answer

The cheetah's speed is 30 m/s and the lion's speed is 22 m/s.