Question

2 Расстояние между двумя пунктами катер прошел по течению реки за 7 часов, а против течения - за 8 часов. Найдите расстояние между этими пунктами, если скорость течения реки 2, 5KM / ч . СРОЧНО!!!!!!!​

Answer 1

Ответ:

280

Пошаговое объяснение:

x - скорость катера, км/ч.

7(x+2,5)=8(x-2,5)

7x+7·2,5=8x-8·2,5

(8-7)x=2,5(7+8)

x=37,5 км/ч - скорость катера.

7(37,5+2,5)=7·40=280 км - расстояние между этими пунктами.

Answer 2

Calculating Distance Traveled by the Boat

To calculate the distance between the two points, we can use the formula: distance = speed × time

Distance Traveled with the Current

When the boat travels with the current, the effective speed is the sum of the boat's speed and the speed of the current. Given that the boat traveled with the current in 7 hours, we can calculate the distance using the formula: distance = (boat's speed + current's speed) × time

Substituting the given values: distance = (boat's speed + current's speed) × time distance = (boat's speed + 2.5) × 7

Distance Traveled against the Current

When the boat travels against the current, the effective speed is the difference between the boat's speed and the speed of the current. Given that the boat traveled against the current in 8 hours, we can calculate the distance using the formula: distance = (boat's speed - current's speed) × time

Substituting the given values: distance = (boat's speed - current's speed) × time distance = (boat's speed - 2.5) × 8

Solving for the Boat's Speed

We can solve for the boat's speed by setting the two distance equations equal to each other: (boat's speed + 2.5) × 7 = (boat's speed - 2.5) × 8

Solving for the boat's speed: (boat's speed + 2.5) × 7 = (boat's speed - 2.5) × 8 7(boat's speed) + 17.5 = 8(boat's speed) - 20 17.5 + 20 = 8(boat's speed) - 7(boat's speed) 37.5 = boat's speed

Calculating the Distance

Now that we have the boat's speed, we can calculate the distance between the two points using either of the original distance formulas.

Substituting the boat's speed into the equation for traveling with the current: distance = (37.5 + 2.5) × 7 distance = 40 × 7 distance = 280 kilometers Therefore, the distance between the two points is 280 kilometers.