Question

РЕШИТЕ ПЛЗ ТЕПЛОХОД ПРОШЕЛ 2 ЧАСАПО ТЕЧЕНИЮ И 0,5 ЧАСА ПРОТИВ ТЕЧЕНИЯ И ОКАЗАЛСЯ В 50 КМ ОТ ПУНКТА ВЫХОДА.нАЙДИТЕ СОБСТВЕННУЮ СКОРОСТЬ ТЕПЛОХОДА, ЕСЛИ СКОРОСТЬ ТЕЧЕНИЯ-2 КМ Ч

Answer 1

Х - собственная скорость теплохода
х+2 - скорость по течению
х-2 - скорость против течения

2(х + 2) + 0,5(х - 2) = 50
2х + 4 + 0,5х - 1 = 50
2х + 0,5х = 50 - 4 + 1
2,5х = 47
х = 47 : 2,5
х = 18,8 км/ч - собственная скорость теплохода

Answer 2

Calculating the Ship's Speed

To calculate the ship's speed, we can use the formula:

Speed = Distance / Time

Given that the ship traveled 50 km in 2 hours with the current and 0.5 hours against the current, we can calculate its speed.

Calculations

1. Speed with the current: - Distance = 50 km - Time = 2 hours - Using the formula, the speed with the current is: - Speed = 50 km / 2 hours = 25 km/h.

2. Speed against the current: - Distance = 50 km - Time = 0.5 hours - Using the formula, the speed against the current is: - Speed = 50 km / 0.5 hours = 100 km/h.

Finding the Ship's Own Speed

To find the ship's own speed, we can use the concept of relative speed. The ship's speed with the current added to the speed of the current gives the speed of the ship with the current, and the ship's speed against the current subtracted from the speed of the current gives the speed of the ship against the current.

1. Speed with the current: - Ship's speed + Speed of the current = 25 km/h - Given that the speed of the current is 2 km/h, the ship's own speed with the current is: - Ship's speed = 25 km/h - 2 km/h = 23 km/h.

2. Speed against the current: - Ship's speed - Speed of the current = 100 km/h - Given that the speed of the current is 2 km/h, the ship's own speed against the current is: - Ship's speed = 100 km/h + 2 km/h = 102 km/h.

Therefore, the ship's own speed is 23 km/h with the current and 102 km/h against the current.