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Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together?
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Mary can finish an artwork in 5 days And Martin can do the same work i...
Understanding the Problem
To determine how long it will take for Mary and Martin to complete the artwork together, we need to calculate their individual work rates and then combine them.
Individual Work Rates
- Mary's Work Rate:
- Mary can complete the artwork in 5 days.
- Therefore, her work rate is 1/5 of the artwork per day.
- Martin's Work Rate:
- Martin can complete the artwork in 8 days.
- His work rate is 1/8 of the artwork per day.
Combined Work Rate
To find their combined work rate, we simply add their individual work rates:
- Combined Work Rate = (1/5) + (1/8)
To add these fractions, we need a common denominator, which is 40:
- (1/5) = 8/40
- (1/8) = 5/40
Thus,
- Combined Work Rate = 8/40 + 5/40 = 13/40
This means together, they can complete 13/40 of the artwork in one day.
Calculating the Time Taken Together
To find the total time taken to finish the work, we take the reciprocal of the combined work rate:
- Time Taken = 1 / (13/40) = 40/13 days
Converting this to a more understandable format gives approximately:
- Time Taken ≈ 3.08 days
Conclusion
When Mary and Martin work together, they can complete the artwork in approximately 3.08 days. This method of calculating combined work rates can be applied to similar problems effectively.
To determine how long it will take for Mary and Martin to complete the artwork together, we need to calculate their individual work rates and then combine them.
Individual Work Rates
- Mary's Work Rate:
- Mary can complete the artwork in 5 days.
- Therefore, her work rate is 1/5 of the artwork per day.
- Martin's Work Rate:
- Martin can complete the artwork in 8 days.
- His work rate is 1/8 of the artwork per day.
Combined Work Rate
To find their combined work rate, we simply add their individual work rates:
- Combined Work Rate = (1/5) + (1/8)
To add these fractions, we need a common denominator, which is 40:
- (1/5) = 8/40
- (1/8) = 5/40
Thus,
- Combined Work Rate = 8/40 + 5/40 = 13/40
This means together, they can complete 13/40 of the artwork in one day.
Calculating the Time Taken Together
To find the total time taken to finish the work, we take the reciprocal of the combined work rate:
- Time Taken = 1 / (13/40) = 40/13 days
Converting this to a more understandable format gives approximately:
- Time Taken ≈ 3.08 days
Conclusion
When Mary and Martin work together, they can complete the artwork in approximately 3.08 days. This method of calculating combined work rates can be applied to similar problems effectively.
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Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together?
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Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together?.
Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mary can finish an artwork in 5 days And Martin can do the same work in 8 days . find the time taken to finish the work if both of them work together?.
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