Question

Гребец на лодке отправился по реке на расстоянии 3 км и вернулся обратно. определите собственную скорость лодки,если известно,что скорость течения реки 2 км/ч, а весь пусть занял 2 часа

Answer 1

S=3, t1+t2=2,
vс-собств. скорость лодки, vр-скоросто течения реки, тогда v1=vс+vр и v2=vс-vр
уравнение s/v1 + s/v2=2
3/vc+vp+3/vc-vp=2
4vc/vc*vc-4=2
-2vc*vc=4vc+8=0
решаеш уравнение, находишь собственную скорость лодки

Answer 2

Calculation of Boat's Speed

To determine the speed of the boat, we can use the formula:

Speed of boat = Distance traveled / Time taken

In this case, the boat traveled a distance of 3 km and the entire trip took 2 hours. We also know that the speed of the river's current is 2 km/h.

To calculate the speed of the boat, we need to consider the effect of the river's current. When the boat is moving upstream (against the current), its effective speed is reduced by the speed of the current. When the boat is moving downstream (with the current), its effective speed is increased by the speed of the current.

Let's break down the trip into two parts:

1. Upstream: The boat traveled a distance of 3 km against the current. 2. Downstream: The boat traveled a distance of 3 km with the current.

To calculate the speed of the boat, we can use the following equations:

Speed of boat upstream = (Distance traveled upstream) / (Time taken upstream) Speed of boat downstream = (Distance traveled downstream) / (Time taken downstream)

Since the time taken for the entire trip is 2 hours, we can calculate the time taken for each part of the trip:

Time taken upstream + Time taken downstream = Total time taken

Let's substitute the given values into the equations and calculate the speed of the boat.

Calculation:

Distance traveled upstream = 3 km Distance traveled downstream = 3 km Total time taken = 2 hours Speed of current = 2 km/h

Let's calculate the time taken for each part of the trip:

Time taken upstream + Time taken downstream = Total time taken

Let's assume the time taken upstream as 't' hours. Then the time taken downstream would be '2 - t' hours.

t + (2 - t) = 2

Simplifying the equation:

2 = 2

Since the equation is true for any value of 't', we can conclude that the time taken upstream and downstream can be any value as long as their sum is equal to 2 hours.

Now, let's calculate the speed of the boat upstream and downstream:

Speed of boat upstream = (Distance traveled upstream) / (Time taken upstream) Speed of boat downstream = (Distance traveled downstream) / (Time taken downstream)

Speed of boat upstream = 3 km / t hours Speed of boat downstream = 3 km / (2 - t) hours

Now, let's substitute the given values and calculate the speed of the boat:

Speed of boat upstream = 3 km / t hours Speed of boat downstream = 3 km / (2 - t) hours

Since we don't have a specific value for 't', we cannot calculate the exact speed of the boat. However, we can determine the range of possible speeds based on the given information.

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