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Distance, Speed, and Time A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s from the position shown in figure (a) to the position shown in figure (b)? [Hint: Use feet and seconds instead of miles and hours.]
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To find: The speed of car to completely pass the truck.
Answer to Problem 70E
The speed of car to completely pass the truck is 80.66 mi/h.
Explanation of Solution
Given:
The length of car is 14 ft and the length of truck is 30 ft.
The speed of truck is 5 mi/h and time taken by car to pass the truck is 6 s.
Formula used:
Distance formula is,
Calculation:
Let the speed of car be x ft/s.
Speed of truck in ft/s,
Tabulate the given information into the language of algebra.
In words | In algebra |
Speed of car | x |
Effective speed |
|
Total distance |
|
Model the equation for the above information.
Simplify the above equation for x,
Thus, the speed of car to completely pass the truck is 80.66 mi/h.
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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