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Johnny drove with an average speed of m miles per hour for h hours, increased his average speed to m + s miles per hour for an additional h hour and then increased his average speed to twice the original speed for a final h hours. Which of the following represents the distance which he drove? 
  • a)
    h(2m +s)
  • b)
    h(4m +s)
  • c)
    h(m2 +s)
  • d)
    h2(m +s)
  • e)
    h(m +s)2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Johnny drove with an average speed of m miles per hour for h hours, in...
Step 1: Question statement and Inferences
Johnny drove three segments for h hours each. His speeds were m, m + s, and 2m. The question asks for the representation of the distance which he drove. 
We know that
 
Step 2: Finding required values
Multiply the time driven, h for each segment, by the speed driven for that segment, to get distances. These are hm, h(m + s), and 2hm, respectively.
Step 3: Calculating the final answer
The total distance traveled is hm + h(m + s) + 2hm, which factors out to h(4m +s). 
Answer: Option (B)
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Johnny drove with an average speed of m miles per hour for h hours, in...
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