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Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?
- a)10 minutes
- b)15 minutes
- c)12 minutes
- d)20 minutes
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two typists of varying skills can do a job in 6 minutes if they work t...
Working efficiency of both typist together,
= 100/6 = 16.66% per minute
Now, let work efficiency of first typist be x and then second typist will be (16.66 - x)
First typist typed alone for 4 minutes and second typed alone for 6 minutes and they left with 1/5 (i.e 20%) of job, means they have completed 80% job.
Now,
First Typist typed in 4 minute + Second typed in 6 minutes = 80%
4 *x + 6 *(16.66 - x) = 80%
4x + 100% - 6x = 80%
x = 10%
First Typist typed 10% per minutes. Then second typed (16.66 - 10) = 6.66% per minute
Then, Second typist complete the whole job in 100/ 6.66 = 15.01 = 15 minutes.
Most Upvoted Answer
Two typists of varying skills can do a job in 6 minutes if they work t...
Let's assume that the job requires x minutes to be completed by the slower typist working alone.
Working together for 6 minutes
- In 1 minute, the faster typist completes 1/6 of the job.
- In 1 minute, the slower typist completes 1/x of the job.
- So, in 6 minutes, the faster typist completes (1/6) * 6 = 1 job.
- In 6 minutes, the slower typist completes (1/x) * 6 = 6/x of the job.
Working individually for 4 minutes and 6 minutes
- After the first typist works alone for 4 minutes, 4 * (1/6) = 2/3 of the job is completed.
- This means that 1 - 2/3 = 1/3 of the job is left.
- After the second typist works alone for 6 minutes, 6 * (1/x) = 6/x of the job is completed.
- This means that 1/3 - 6/x = 1/5 of the job is left.
Equation
- We can set up an equation using the information above:
1/3 - 6/x = 1/5
Solving the equation
- Multiply both sides by 15x to eliminate the denominators:
5x - 90 = 3x
- Subtract 3x from both sides:
2x - 90 = 0
- Add 90 to both sides:
2x = 90
- Divide by 2:
x = 45
Conclusion
- The slower typist would take 45 minutes to complete the typing job working alone.
- None of the given answer options (a, c, d) match the correct answer, which is option 'B' (15 minutes).
Working together for 6 minutes
- In 1 minute, the faster typist completes 1/6 of the job.
- In 1 minute, the slower typist completes 1/x of the job.
- So, in 6 minutes, the faster typist completes (1/6) * 6 = 1 job.
- In 6 minutes, the slower typist completes (1/x) * 6 = 6/x of the job.
Working individually for 4 minutes and 6 minutes
- After the first typist works alone for 4 minutes, 4 * (1/6) = 2/3 of the job is completed.
- This means that 1 - 2/3 = 1/3 of the job is left.
- After the second typist works alone for 6 minutes, 6 * (1/x) = 6/x of the job is completed.
- This means that 1/3 - 6/x = 1/5 of the job is left.
Equation
- We can set up an equation using the information above:
1/3 - 6/x = 1/5
Solving the equation
- Multiply both sides by 15x to eliminate the denominators:
5x - 90 = 3x
- Subtract 3x from both sides:
2x - 90 = 0
- Add 90 to both sides:
2x = 90
- Divide by 2:
x = 45
Conclusion
- The slower typist would take 45 minutes to complete the typing job working alone.
- None of the given answer options (a, c, d) match the correct answer, which is option 'B' (15 minutes).
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Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer?
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Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer?.
Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two typists of varying skills can do a job in 6 minutes if they work together. If the first typisttyped alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?a)10 minutesb)15 minutesc)12 minutesd)20 minutesCorrect answer is option 'B'. Can you explain this answer?.
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