Question

Расстояние между городами по реке 160км. Пароход проходит это расстояние по течению за 6 часов 40 минут, а против течения за 10 часов. Найти скорость течения реки и собственную скорость парохода????? ПЛИЗ ПОМОГИТЕ

Answer 1

6ч40мин=6 2/3часа
160:6 2/3=160:20/3=160*3/20=24км/ч скорость парохода по течению реки
160:10=16км/ч скорость парохода против течения реки
(24-16):2=8:2=4км/ч скорость течения реки
24-4=20км/ч собственная скорость парохода

Answer 2

Calculation of River Current Speed and Ship's Speed

To find the speed of the river current and the speed of the ship, we can use the given information about the distance traveled and the time taken in both directions.

Let's denote the speed of the river current as x and the speed of the ship as y.

1. When the ship is traveling with the current: - The distance traveled is 160 km. - The time taken is 6 hours and 40 minutes, which is equal to 6.67 hours. - Using the formula: distance = speed × time, we can write the equation as: (y + x) × 6.67 = 160.

2. When the ship is traveling against the current: - The distance traveled is still 160 km. - The time taken is 10 hours. - Using the same formula, we can write the equation as: (y - x) × 10 = 160.

Now, we have a system of two equations with two variables. We can solve this system to find the values of x and y.

Solving the Equations

Let's solve the system of equations using the substitution method:

From equation 1, we can express y in terms of x: (y + x) × 6.67 = 160 y + x = 160 / 6.67 y = (160 / 6.67) - x

Substituting this value of y into equation 2: (y - x) × 10 = 160 ((160 / 6.67) - x - x) × 10 = 160

Simplifying the equation: (1600 / 6.67) - 20x = 160 240 - 20x = 160 -20x = -80 x = 4

Now that we have the value of x, we can substitute it back into equation 1 to find y: y + 4 = 160 / 6.67 y = (160 / 6.67) - 4 y ≈ 20

Answer

Therefore, the speed of the river current is approximately 4 km/h, and the speed of the ship is approximately 20 km/h.

Please note that these values are approximate, as the given time values are not exact decimals.