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A truck driving on a highway passed a man walking at the rate of 12km/hr in the same direction. He could see the truck for 2 minutes and up to 500 meters. Find the speed of the truck?
  • a)
    27km/hr
  • b)
    30km/hr
  • c)
    32km/hr
  • d)
    42km/hr
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A truck driving on a highway passed a man walking at the rate of 12km/...
500 = (s – 12*5/18)*2*60
s = 27km/hr
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Most Upvoted Answer
A truck driving on a highway passed a man walking at the rate of 12km/...
Given:
Rate of the man = 12 km/hr
Time the man could see the truck = 2 minutes = 2/60 hours = 1/30 hours
Distance the man could see the truck = 500 meters = 0.5 km

To find:
Speed of the truck

Let's assume the speed of the truck as 'x' km/hr.

Explanation:
When the truck passes the man, the relative speed between the truck and the man is given by the difference in their speeds.

Relative speed = Speed of the truck - Speed of the man
Relative speed = x - 12 km/hr

The distance covered by the truck in 1/30 hours is given by the product of relative speed and time.

Distance = Relative speed * Time
0.5 = (x - 12) * (1/30)

Simplifying the equation:
0.5 = (x - 12)/30
15 = x - 12
x = 15 + 12
x = 27 km/hr

Therefore, the speed of the truck is 27 km/hr.
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A truck driving on a highway passed a man walking at the rate of 12km/hr in the same direction. He could see the truck for 2 minutes and up to 500 meters. Find the speed of the truck?a)27km/hrb)30km/hrc)32km/hrd)42km/hre)None of theseCorrect answer is option 'A'. Can you explain this answer?
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