Question

От пристани по реке отправился плот. Через 10/16ч. вслед за ним вышла лодка и через 10/16 обогнала плот на 13км. Найдите собственную скорость лодки, если скорость течения реки равна 4,8км.

Answer 1

Ответ:

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Пошаговое объяснение:

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Answer 2

Problem Analysis

To solve this problem, we need to find the speed of the boat. We are given that a raft started from the dock and after 10/16 hours, a boat followed it and overtook the raft after 10/16 hours, covering a distance of 13 km. We are also given that the speed of the river current is 4.8 km/h.

Solution

Let's assume the speed of the raft is R km/h and the speed of the boat is B km/h.

1. The raft started from the dock and after 10/16 hours, the boat followed it. This means that in 10/16 hours, the raft covered a distance of (10/16)R km.

2. The boat overtook the raft after 10/16 hours, covering a distance of 13 km. This means that in 10/16 hours, the boat covered a distance of (10/16)B km.

3. Since the boat overtook the raft, the total distance covered by the boat is equal to the distance covered by the raft plus the additional 13 km. Therefore, we can write the equation:

(10/16)B = (10/16)R + 13

4. We are also given that the speed of the river current is 4.8 km/h. This means that the effective speed of the boat is the sum of its own speed and the speed of the current. Therefore, we can write the equation:

B + 4.8 = R

Now, we can solve these two equations to find the values of B and R.

Solving the Equations

Let's solve the equations using substitution:

1. Substitute the value of R from equation 2 into equation 1:

(10/16)B = (10/16)(B + 4.8) + 13

2. Simplify the equation:

(10/16)B = (10/16)B + 3 + 13

3. Combine like terms:

(10/16)B - (10/16)B = 16

4. Simplify further:

0 = 16

The equation simplifies to 0 = 16, which is not possible. This means that there is no solution to the given problem.

Conclusion

Based on the given information, there is no solution to find the speed of the boat. The equations derived from the problem lead to an inconsistency, indicating that the problem is not solvable with the given information.