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A car drives 300 miles at 30 mph, and then 300 miles at 60 miles per hour. What is the car’s average speed, in mph?
  • a)
    36
  • b)
    40
  • c)
    42
  • d)
    45
  • e)
    57
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A car drives 300 miles at 30 mph, and then 300 miles at 60 miles per h...
In order to figure out the average velocity, we need to know both the total distance and the total time.
From the question, we know the total distance is 600 miles.
We need to figure out the time of each leg separately.
In the first leg, T = D/R = 300/30 = 10 hr. In the second leg, T = D/R = 300/60 = 5 hours.
The total time is 10 + 5 = 15 hours.
The average velocity, total distance divided by total time, is 600/15 = 40 mph.
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