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On the first day of the launch of an anticipated electronic item, a queue formed outside an exclusive electronics store that sold the item. At the time the store opened, the queue had 60 people in it and throughout the day, a new person joined the queue every 3 minutes. That day, the store served, only the people in the queue, at a constant service rate of 30 people per hour. If no person re-joined the queue upon getting served once, how many people were in the queue 4 hours after the store opened?
  • a)
    20
  • b)
    40
  • c)
    60
  • d)
    80
  • e)
    100
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
On the first day of the launch of an anticipated electronic item, a qu...
Given:
  • Number of people in the queue when the store opened = 60
  • 1 person joins the queue every 3 minutes
    • So, Queue Joining Rate = 1 person per 3 minutes
  • Constant service rate = 30 people per hour
    • So, 30 people exit the queue each hour
To Find: Number of people in the queue 4 hours after the store opened
Approach:
  1. Number of people in the queue 4 hours after the store opened = (Number of people in the queue when the store opened) + (Number of people who join the queue in 4 hours) – (Number of people who exit the queue in 4 hours)
    • Number of people who join the queue in 4 hours = (Queue Joining Rate, in terms of people per hour)* 4
    • (Number of people who exit the queue in 4 hours) = (Service Rate, in terms of people per hour)*4
  2. We’re already given the number of people in the queue when the store opened and the Service Rate, in terms of people per hour. So, the only piece of information that we need to find is the Queue Joining Rate, in terms of people per hour
Working out:
  • Finding Queue Joining Rate, in terms of people per hour
    • Number of people who join in 3 minutes = 1
    • Number of people who join in 60 minutes  = 
    • So, the Queue Joining Rate = 20 persons per hour
  • Finding the Required Value
     
    • Number of people in the queue 4 hours after the store opened = (Number of people in the queue when the store opened) + (Number of people who join the queue in 4 hours) – (Number of people who exit the queue in 4 hours)
    • Number of people in the queue 4 hours after the store opened = 60 + 20*4 – 30*4
      • = 60 – 10*4
      • =60 – 40
      • = 20
Looking at the answer choices, we see that the correct answer is Option A
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On the first day of the launch of an anticipated electronic item, a queue formed outside an exclusive electronics store that sold the item. At the time the store opened, the queue had 60 people in it and throughout the day, a new person joined the queue every 3 minutes. That day, the store served, only the people in the queue, at a constant service rate of 30 people per hour. If no person re-joined the queue upon getting served once, how many people were in the queue 4 hours after the store opened?a)20b)40c)60d)80e)100Correct answer is option 'A'. Can you explain this answer?
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On the first day of the launch of an anticipated electronic item, a queue formed outside an exclusive electronics store that sold the item. At the time the store opened, the queue had 60 people in it and throughout the day, a new person joined the queue every 3 minutes. That day, the store served, only the people in the queue, at a constant service rate of 30 people per hour. If no person re-joined the queue upon getting served once, how many people were in the queue 4 hours after the store opened?a)20b)40c)60d)80e)100Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about On the first day of the launch of an anticipated electronic item, a queue formed outside an exclusive electronics store that sold the item. At the time the store opened, the queue had 60 people in it and throughout the day, a new person joined the queue every 3 minutes. That day, the store served, only the people in the queue, at a constant service rate of 30 people per hour. If no person re-joined the queue upon getting served once, how many people were in the queue 4 hours after the store opened?a)20b)40c)60d)80e)100Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On the first day of the launch of an anticipated electronic item, a queue formed outside an exclusive electronics store that sold the item. At the time the store opened, the queue had 60 people in it and throughout the day, a new person joined the queue every 3 minutes. That day, the store served, only the people in the queue, at a constant service rate of 30 people per hour. If no person re-joined the queue upon getting served once, how many people were in the queue 4 hours after the store opened?a)20b)40c)60d)80e)100Correct answer is option 'A'. Can you explain this answer?.
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