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A person was fined for exceeding the speed limit by 10 mph. Another person was also fined for exceeding the same speed limit by twice the same.  If the second person was traveling at a speed of 35 mph. Find the speed limit
  • a)
    15 mph
  • b)
    11 mph
  • c)
    13 mph
  • d)
    12 mph
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A person was fined for exceeding the speed limit by 10 mph. Another pe...
If he goes 10 mph then fined 1 time and if he goes 20 mph then fined 2 times so  the speed limit is 15 mph as that has already been given the real speed of the second man is 35 mph so  35-20=15 mph.Think logically and follow me.
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A person was fined for exceeding the speed limit by 10 mph. Another pe...
Problem: A person was fined for exceeding the speed limit by 10 mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was traveling at a speed of 35 mph. Find the speed limit.

Solution:
Let's assume that the speed limit is x mph.
According to the problem,
The first person exceeded the speed limit by 10 mph, so his speed was (x+10) mph.
The second person exceeded the speed limit by twice the same, so his speed was (x+2x) = 3x mph.
Given, the speed of the second person was 35 mph.
Therefore, 3x = 35 => x = 35/3 = 11.67 mph (approx.)
But the speed limit has to be a whole number. So, the closest possible speed limit would be the next lowest whole number which is 15 mph (since 14 mph is still below the second person's speed of 35 mph).
Therefore, the speed limit is 15 mph.

Answer: (a) 15 mph.
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