A car travels a fixed distance of 260km. A formula for finding the average speed of the car, s (km)/(h), when it takes t hours to travel this distance is s=(260)/(t). Find the time taken for a car to travel this distance at a speed of (100km)/(h).

To find the time \( t \) taken for a car to travel a distance of 260 km at a speed of 100 km/h, you can use the formula:

\[
s = \frac{260}{t}
\]

Given that the speed \( s \) is 100 km/h, you can set up the equation:

\[
100 = \frac{260}{t}
\]

Now, solve for \( t \):

1. Multiply both sides of the equation by \( t \) to eliminate the denominator:

\[
100t = 260
\]

2. Divide both sides by 100 to isolate \( t \):

\[
t = \frac{260}{100}
\]

3. Simplify the fraction:

\[
t = 2.6 \text{ hours}
\]

So, the time taken for the car to travel the distance of 260 km at a speed of 100 km/h is 2.6 hours.

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How would the time change if the speed were reduced to 80 km/h?
2. What would be the average speed if the car took 3.25 hours to cover 260 km?
3. How can you express the time in minutes instead of hours?
4. If the car made a 20-minute stop during the trip, what would be the new average speed?
5. How would you modify the formula if the distance was not fixed?

**Tip:** Always keep track of the units when solving problems involving speed, distance, and time. It helps avoid errors and ensures accurate calculations.

Learn how to calculate the time taken for a car to travel 260km at a speed of 100km/h using the formula s = 260 / t. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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