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Marcel is taking a trip, driving at a constant speed of X miles per hour for the first 2 hours of his trip, and at a constant speed of Y miles per hour after the first 2 hours.
In terms of X and Y, select the expression that represents Marcel’s average speed if he drives for a total of 5 hours, and select the expression that represents Marcel’s average speed if he drives for a total of 5X miles. Make only one selection in each column.
  • a)
    1st option, 4th option
  • b)
    2nd option, 4th option
  • c)
    2nd option, 5th option
  • d)
    3rd option, 5th option
  • e)
    2nd option, 1st option
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Marcel is taking a trip, driving at a constant speed of X miles per ho...
The first question is easier to answer. If Marcel drives for 5 hours, then he goes at a constant speed of X for 2 hours and at a constant speed of Y for the remaining 3 hours. Thus, his average speed is 

Now, if Marcel travels a total of 5X miles, then over the first 2 hours he covers 2X miles, so he has 3X miles left to travel at a speed of Y miles per hour:

Therefore, in total his trip lasts 
2 + 3X/Yhours.
You can now find his average speed for the trip:
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Marcel is taking a trip, driving at a constant speed of X miles per hour for the first 2 hours of his trip, and at a constant speed of Y miles per hour after the first 2 hours.In terms of X and Y, select the expression that represents Marcel’s average speed if he drives for a total of 5 hours, and select the expression that represents Marcel’s average speed if he drives for a total of 5X miles. Make only one selection in each column.a)1st option, 4th optionb)2nd option, 4th optionc)2nd option, 5th optiond)3rd option, 5th optione)2nd option, 1st optionCorrect answer is option 'B'. Can you explain this answer?
Question Description
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