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The speed of a car exceeds twice the speed of a truck by 15 mph. If t is the speed of the truck, which of the following expresses the speed, in miles per hour, of the car?
  • a)
    t + 15
  • b)
    t + 30
  • c)
    t - 30
  • d)
    2t + 15
  • e)
    2t + 30
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The speed of a car exceeds twice the speed of a truck by 15 mph. If t ...
Understanding the Problem
To find the speed of the car in relation to the speed of the truck, we start with the given information:
- Let t be the speed of the truck in miles per hour.
- The speed of the car exceeds twice the speed of the truck by 15 mph.
Setting Up the Equation
From the problem statement, we can express the relationship mathematically:
- Twice the speed of the truck is represented as 2t.
- The car's speed exceeds this by 15 mph, which can be expressed as:
Car's speed = 2t + 15
Finding the Correct Option
Now, let's analyze the options provided to find which one matches our derived expression for the speed of the car:
- a) t + 15
- b) t + 30
- c) t - 30
- d) 2t + 15
- e) 2t + 30
Since we derived that the speed of the car is 2t + 15, we see that option d matches our equation perfectly.
Conclusion
Therefore, the correct expression for the speed of the car, given that it exceeds twice the speed of the truck by 15 mph, is:
- d) 2t + 15
This clearly identifies the relationship between the speeds of the truck and the car.
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The speed of a car exceeds twice the speed of a truck by 15 mph. If t ...
If t is the speed of the truck, then twice the speed of the truck can be written as 2t. If the speed of the car exceeded twice the speed of the truck by 15 mph, the car’s speed was 2t + 15.
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The speed of a car exceeds twice the speed of a truck by 15 mph. If t is the speed of the truck, which of the following expresses the speed, in miles per hour, of the car?a)t + 15b)t + 30c)t - 30d)2t + 15e)2t + 30Correct answer is option 'D'. Can you explain this answer?
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