Math Problem Statement
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).
Solution
To find the time taken for a car to travel a distance of 260 km at a speed of 100 km/h, you can use the formula:
Given that the speed is 100 km/h, you can set up the equation:
Now, solve for :
- Multiply both sides of the equation by to eliminate the denominator:
- Divide both sides by 100 to isolate :
- Simplify the fraction:
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:
- How would the time change if the speed were reduced to 80 km/h?
- What would be the average speed if the car took 3.25 hours to cover 260 km?
- How can you express the time in minutes instead of hours?
- If the car made a 20-minute stop during the trip, what would be the new average speed?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Ratio and Proportion
Formulas
s = 260 / t
Theorems
Basic Proportionality Theorem
Suitable Grade Level
Grades 6-8