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Solve the following question and mark the best possible option.
In a mall there are two escalators, operating parallel to each other. One is Up- Escalator and the other is Down-escalator. A kid stands on the Up-Escalator for 10 sec. and ascends 8 steps and then climbs the Down-escalator and descends 3 steps in 10 sec. In this way he jumps from one escalator to the other. After what time will the kid reach the top assuming that he needs 0 sec to move from one escalator to the other, if both the escalators have 74 steps?
  • a)
    5 min
  • b)
    3 ¼ min
  • c)
    4 ¾ min
  • d)
    6/7 min
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Solve the following question and mark the best possible option.In a ma...
In the first 10 sec the kid ascends 8 steps and in the next 10 sec he descends 3 steps.
So effectively in first 20 sec he ascends 8 – 3 = 5 steps.
So in 280 sec he will ascend 70 steps.
Then he will jump on the Up-Escalator and will ascend the remaining 4 steps in 5 sec.
Hence total time required by the kid to reach the top is = 280 + 5 = 285 seconds = 4 ¾ min.
Hence option 3.
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Most Upvoted Answer
Solve the following question and mark the best possible option.In a ma...
The kid ascends 8 steps in 10 seconds on the Up-Escalator, so the kid ascends 8/10 = 0.8 steps per second.
The kid descends 3 steps in 10 seconds on the Down-escalator, so the kid descends 3/10 = 0.3 steps per second.
The total number of steps the kid needs to climb is 74.
Let x be the time (in seconds) it takes for the kid to reach the top.
The kid spends x/10 seconds on the Up-Escalator, so the kid ascends 0.8(x/10) = 0.08x steps on the Up-Escalator.
The kid spends x/10 seconds on the Down-escalator, so the kid descends 0.3(x/10) = 0.03x steps on the Down-escalator.
The total number of steps the kid climbs is 0.08x + 0.03x = 0.11x.
0.11x = 74
x = 74/0.11
x = 672.73
Since the question asks for the time in minutes, the kid will reach the top in 672.73/60 = 11.21 minutes.
The best possible option is c) 11.21 min.
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Solve the following question and mark the best possible option.In a mall there are two escalators, operating parallel to each other. One is Up- Escalator and the other is Down-escalator. A kid stands on the Up-Escalator for 10 sec. and ascends 8 steps and then climbs the Down-escalator and descends 3 steps in 10 sec. In this way he jumps from one escalator to the other. After what time will the kid reach the top assuming that he needs 0 sec to move from one escalator to the other, if both the escalators have 74 steps?a)5 minb)3 ¼ minc)4 ¾ mind)66/7minCorrect answer is option 'C'. Can you explain this answer?
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