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20 people can eat 100 burgers in 2 hours. In how many hours 200 burgers will be eaten by 10 people?
  • a)
    5 hours
  • b)
    8 hours
  • c)
    7 hours
  • d)
    4 hours
  • e)
    6 hours
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
20 people can eat 100 burgers in 2 hours. In how many hours 200 burger...
B) 8 hours Explanation: Eating burgers will be considered as a work. So M1*H1*W2 = M2*H2*W1
20*2*200 = 10*H2*100
Solve H2 = 8
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Most Upvoted Answer
20 people can eat 100 burgers in 2 hours. In how many hours 200 burger...
Understanding the Problem
To solve the problem, we first need to determine the rate at which burgers are consumed.
Rate of Burger Consumption
- 20 people eat 100 burgers in 2 hours.
- Therefore, the rate of consumption is calculated as follows:
- In 2 hours, 100 burgers are eaten.
- Hence, in 1 hour, 100 burgers / 2 hours = 50 burgers are eaten.
- The consumption per person per hour is thus: 50 burgers / 20 people = 2.5 burgers per person per hour.
Calculating for 10 People
Now, let’s find out how many burgers 10 people can eat in an hour.
- 10 people will consume 10 people * 2.5 burgers/person/hour = 25 burgers per hour.
Finding Time for 200 Burgers
Next, we need to determine how long it takes for 10 people to eat 200 burgers.
- To find the time required, we use the formula: Time = Total Burgers / Rate of Consumption.
- Therefore, Time = 200 burgers / 25 burgers/hour = 8 hours.
Conclusion
Thus, it will take 10 people 8 hours to eat 200 burgers. The correct answer is option 'B'.
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Question Description
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