a.
To find: The rate of the bike in terms of
The rate in terms of
Given:
The distance covered by bike is
Concept used:
The average speed is
Calculation:
Let the speed of bike be
Time taken by bike is
Time taken by car is
Total time taken by both bike and car together is
b.
To determine: The total time taken is
The time take taken is
Given:
The distance covered by bike is
Concept used:
The quadratic formula used is
Calculation:
Graphically:
Enter the function in the graphing utility.
Algebraically:
Let the speed of bike be
Time taken by bike is
Time taken by car is
Total time taken by both bike and car together is
Total time can be calculated as shown below.
After comparing with standard quadratic equation
The quadratic equation can be solved by using quadratic formula.
The rate cannot be negative. So, the rate is
Chapter 2 Solutions
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