The distance between your house and uncle's house is 12.8 km and the distance between four houses is 3.6 km. If it takes uncle and uncle 27 minutes to go home, how long will it take you to go home at the same speed?

Let's break down the information provided:

- The distance between your house and your uncle's house is 12.8 km.
- It takes 27 minutes for your uncle to travel 3.6 km.
- You want to know how long it will take you to travel 12.8 km at the same speed.

First, let's find the speed at which your uncle is traveling. Speed is calculated using the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Given that your uncle travels 3.6 km in 27 minutes:

\[
\text{Speed} = \frac{3.6 \, \text{km}}{27 \, \text{min}} = 0.1333 \, \text{km/min}
\]

Now, let's use this speed to find the time it will take to travel the distance between your house and your uncle's house (12.8 km). Using the formula:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

\[
\text{Time} = \frac{12.8 \, \text{km}}{0.1333 \, \text{km/min}} = 96 \, \text{minutes}
\]

So, it will take you **96 minutes** to travel 12.8 km at the same speed.

Would you like more details or have any questions?

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Here are 5 related questions to expand on this topic:

1. How would the time change if you traveled at a faster speed?
2. What if the distance were doubled, how would that affect travel time?
3. How can you convert the speed into km/h instead of km/min?
4. What if there was a stop halfway through, how would that affect total travel time?
5. How does calculating speed change if the distance varies with time (non-constant speed)?

**Tip:** When solving for time or speed, always make sure the units are consistent across your calculations (e.g., km/min or km/h).

Learn how to calculate the time it takes to travel 12.8 km at a constant speed. This problem involves key mathematical concepts like speed, distance, and time, and includes a detailed step-by-step solution. Suitable for Grades 6-8 students.

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