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If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?
- a)2.36 hours
- b)1.24 hours
- c)0.80 hours
- d)2.56 hours
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If there are 5 persons who can work individually and complete a work i...
In 1 hour, ½ + ¼ + ⅕ +⅙ + ⅛ = 149/120 = 1.24 is the work done.
Hence, total time to complete the work would be = 1/1.24 = 0.80 hours
Hence, total time to complete the work would be = 1/1.24 = 0.80 hours
Most Upvoted Answer
If there are 5 persons who can work individually and complete a work i...
Given Information:
There are 5 persons who can work individually and complete a work in 2, 4, 5, 6, and 8 hours respectively.
To Find:
The time it will take to finish the work if they work together.
Working Together:
When people work together, their combined efficiency is more than when they work individually. To find the time it will take to finish the work when they work together, we need to find their combined efficiency.
Efficiency:
Efficiency is defined as the amount of work done per unit of time. It can be calculated as the inverse of the time taken to complete the work.
Calculating Efficiency:
To calculate the efficiency of each person, we take the inverse of their individual time taken to complete the work.
Person 1: Efficiency = 1/2
Person 2: Efficiency = 1/4
Person 3: Efficiency = 1/5
Person 4: Efficiency = 1/6
Person 5: Efficiency = 1/8
Calculating Combined Efficiency:
To find the combined efficiency, we add up the individual efficiencies of each person.
Combined Efficiency = 1/2 + 1/4 + 1/5 + 1/6 + 1/8
To add these fractions, we need to find a common denominator.
Common Denominator = 2 * 4 * 5 * 6 * 8 = 960
Now, we can rewrite the fractions with the common denominator.
Combined Efficiency = (480/960) + (240/960) + (192/960) + (160/960) + (120/960)
= 1192/960
Calculating Time Taken:
To find the time taken to complete the work when they work together, we take the inverse of the combined efficiency.
Time Taken = 960/1192
Using a calculator, we find that this value is approximately 0.803 hours.
Conclusion:
Therefore, it will take approximately 0.803 hours (or 0.80 hours) to finish the work when the 5 persons work together. Hence, the correct answer is option C.
There are 5 persons who can work individually and complete a work in 2, 4, 5, 6, and 8 hours respectively.
To Find:
The time it will take to finish the work if they work together.
Working Together:
When people work together, their combined efficiency is more than when they work individually. To find the time it will take to finish the work when they work together, we need to find their combined efficiency.
Efficiency:
Efficiency is defined as the amount of work done per unit of time. It can be calculated as the inverse of the time taken to complete the work.
Calculating Efficiency:
To calculate the efficiency of each person, we take the inverse of their individual time taken to complete the work.
Person 1: Efficiency = 1/2
Person 2: Efficiency = 1/4
Person 3: Efficiency = 1/5
Person 4: Efficiency = 1/6
Person 5: Efficiency = 1/8
Calculating Combined Efficiency:
To find the combined efficiency, we add up the individual efficiencies of each person.
Combined Efficiency = 1/2 + 1/4 + 1/5 + 1/6 + 1/8
To add these fractions, we need to find a common denominator.
Common Denominator = 2 * 4 * 5 * 6 * 8 = 960
Now, we can rewrite the fractions with the common denominator.
Combined Efficiency = (480/960) + (240/960) + (192/960) + (160/960) + (120/960)
= 1192/960
Calculating Time Taken:
To find the time taken to complete the work when they work together, we take the inverse of the combined efficiency.
Time Taken = 960/1192
Using a calculator, we find that this value is approximately 0.803 hours.
Conclusion:
Therefore, it will take approximately 0.803 hours (or 0.80 hours) to finish the work when the 5 persons work together. Hence, the correct answer is option C.
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If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer?
Question Description
If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer?.
If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer?.
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If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?a)2.36 hoursb)1.24 hoursc)0.80 hoursd)2.56 hoursCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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