a house is 25m from a cliff above sea. The cliff is eroding at a rate of 40mm per year. How many years will pass before the house starts to fall in the sea

To find out how many years will pass before the house starts to fall into the sea, we need to calculate how long it will take for the cliff to erode the 25 meters of distance between the house and the edge of the cliff.

### Given dataTo find out how many years will pass before the house starts to fall into the sea, we need to calculate how long it will take for the cliff to erode the 25 meters of distance between the house and the edge of the cliff.

### Given 
- Distance between house and cliff: \( 25 \, \text{m} = 25000 \, \text{mm} \)
- Erosion rate: \( 40 \, \text{mm/year} \)

### Calculation:
The number of years it will take for the cliff to erode 25 meters is:
\[
\text{Time} = \frac{\text{Distance}}{\text{Erosion Rate}} = \frac{25000 \, \text{mm}}{40 \, \text{mm/year}}
\]
Let's compute this.

\[
\text{Time} = 625 \, \text{years}
\]

### Conclusion:
It will take **625 years** for the house to fall into the sea.

Do you have any questions or would you like more details?

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Here are 5 related questions for further exploration:
1. What if the erosion rate increases by 10 mm per year?
2. How far would the cliff erode in 100 years at the same rate?
3. What if the house was located 50 meters from the cliff instead?
4. How would the result change if the erosion rate varied yearly?
5. How can coastal protection methods reduce the erosion rate?

**Tip:** Always ensure units are consistent (e.g., meters or millimeters) when solving problems involving rates and distances!

A house is 25m from a cliff above the sea. The cliff is eroding at a rate of 40mm per year. How many years will pass before the house starts to fall into the sea?

This problem calculates how long it will take for a house located 25 meters from a cliff to fall into the sea, given an erosion rate of 40mm per year. Learn the step-by-step method to compute the time, including unit conversions and the rate-distance-time relationship. Ideal for students in Grades 6-8.

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