Моторная лодка проплыла 1,4 часа по течению реки и 2,2 часа против течения реки. Какой путь
преодолела лодка за время движения если скорость равна 1,7 км ч а собственная скорость лодки 18,8 км ч РЕШИТЕ ПЛИЗ НУЖНО ОЧЕНЬОтветы на вопрос
20,5*1,4=28,7км проплыла лодка по течению
18,8-1,7=17,1км/ч скорость против течения
17,1*2,2=37,62км проплыла лодка против течения
28,7+37,62=66,32км
преодолела лодка за время движения
Calculation of the Distance Traveled by the Boat
To calculate the distance traveled by the boat, we need to consider the time it spent traveling with the current and against the current, as well as its speed.
Given: - Time spent traveling with the current: 1.4 hours - Time spent traveling against the current: 2.2 hours - Speed of the boat: 1.7 km/h - Speed of the current: unknown - Speed of the boat in still water: 18.8 km/h
Let's denote the speed of the current as v km/h.
When the boat is traveling with the current, its effective speed is the sum of its own speed and the speed of the current: Effective speed with the current = Speed of the boat + Speed of the current
When the boat is traveling against the current, its effective speed is the difference between its own speed and the speed of the current: Effective speed against the current = Speed of the boat - Speed of the current
To find the speed of the current, we can set up a system of equations using the given information:
Equation 1: Distance traveled with the current = Effective speed with the current * Time spent traveling with the current Equation 2: Distance traveled against the current = Effective speed against the current * Time spent traveling against the current
Let's solve the system of equations to find the distance traveled by the boat.
Solution:
Let's first find the speed of the current (v).
From Equation 1: Distance traveled with the current = (Speed of the boat + Speed of the current) * Time spent traveling with the current
From Equation 2: Distance
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