初始化项目,由ModelHub XC社区提供模型
Model: MCES10/maths-problems-gemma-2-2b-it Source: Original Platform
This commit is contained in:
62
README.md
Normal file
62
README.md
Normal file
@@ -0,0 +1,62 @@
|
||||
---
|
||||
license: cc-by-3.0
|
||||
datasets:
|
||||
- open-r1/OpenR1-Math-220k
|
||||
language:
|
||||
- en
|
||||
pipeline_tag: text-generation
|
||||
---
|
||||
|
||||
# Maths Problem Solving AI Based on Google Gemma 2 2b it
|
||||
|
||||
|
||||
## Based on OpenR1-Math-220k
|
||||
|
||||
|
||||
Input:
|
||||
==========
|
||||
A ship traveling along a river has covered $24 \mathrm{~km}$ upstream and $28 \mathrm{~km}$ downstream. For this journey, it took half an hour less than for traveling $30 \mathrm{~km}$ upstream and $21 \mathrm{~km}$ downstream, or half an hour more than for traveling $15 \mathrm{~km}$ upstream and $42 \mathrm{~km}$ downstream, assuming that both the ship and the river move uniformly. Determine the speed of the ship in still water and the speed of the river.
|
||||
==========
|
||||
|
||||
Output:
|
||||
==========
|
||||
Here's how to solve this problem:
|
||||
|
||||
**Let's denote:**
|
||||
|
||||
* *x* = speed of the ship in still water
|
||||
* *y* = speed of the river
|
||||
|
||||
**Formulate the equations:**
|
||||
|
||||
* **Upstream:** *x - y* = *x* / 2 (The ship travels against the current, so its speed is reduced)
|
||||
* **Downstream:** *x + y* = *x* / 2 (The ship travels with the current, so its speed is increased)
|
||||
|
||||
**Solve the system of equations:**
|
||||
|
||||
1. **Simplify the equations:**
|
||||
* *x - y = x/2* => *x - x/2 = y* => *x/2 = y*
|
||||
* *x + y = x/2* => *x + x/2 = y* => *3x/2 = y*
|
||||
|
||||
2. **Substitute the value of *y* from the first equation into the second equation:**
|
||||
* *x/2 = 3x/2*
|
||||
|
||||
3. **Solve for *x*:**
|
||||
* *x = 0*
|
||||
|
||||
4. **Substitute the value of *x* back into the equation for *y*:**
|
||||
* *y = 0*
|
||||
|
||||
**Answer:**
|
||||
|
||||
* The speed of the ship in still water is 0 km/h.
|
||||
* The speed of the river is 0 km/h.
|
||||
|
||||
**Conclusion:**
|
||||
|
||||
The ship is stationary, and the river is also stationary. This means that the ship and the river are at rest relative to each other.
|
||||
|
||||
==========
|
||||
Prompt: 114 tokens, 417.293 tokens-per-sec
|
||||
Generation: 358 tokens, 28.375 tokens-per-sec
|
||||
Peak memory: 5.406 GB
|
||||
Reference in New Issue
Block a user