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DIRECTIONS: Choose the most appropriate answer.
Q. Two typists of varying skills can do a typing job in 6 minutes if they work together. If the first typist typed 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?
Verified Answer
DIRECTIONS:Choose the most appropriate answer.Q. Two typists of varyin...
Let first complete the job in = x minutes Second complete the job in = y minutes

By (1) and (2) x = 10, y = 15
Hence slower typist complete the jobs in 15 minutes.
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Most Upvoted Answer
DIRECTIONS:Choose the most appropriate answer.Q. Two typists of varyin...
Given Information:
- Two typists of varying skills can do a typing job in 6 minutes if they work together.
- If the first typist typed 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.

To Find:
The time it would take the slower typist to complete the typing job working alone.

Approach:
Let's assume the slower typist takes 'x' minutes to complete the job alone. We need to find the value of 'x'.

Solution:

Step 1: Find the work done by the first typist in 4 minutes.
- Since both typists working together can complete the job in 6 minutes, the work done by both in 1 minute is 1/6.
- So, the work done by the first typist in 4 minutes is (1/6) * 4 = 2/3.

Step 2: Find the work done by the second typist in 6 minutes.
- Since both typists working together can complete the job in 6 minutes, the work done by both in 1 minute is 1/6.
- So, the work done by the second typist in 6 minutes is (1/6) * 6 = 1.

Step 3: Find the remaining work after the first typist worked for 4 minutes and the second typist worked for 6 minutes.
- The remaining work is 1 - (2/3) = 1/3.

Step 4: Find the time taken by the slower typist to complete 1/3 of the work.
- If the slower typist takes 'x' minutes to complete the job alone, the work done by the slower typist in 1 minute is 1/x.
- So, the time taken by the slower typist to complete 1/3 of the work is (1/3) / (1/x) = x/3.

Step 5: Equate the time taken by the slower typist to complete 1/3 of the work to the time taken by both typists working together to complete the entire job.
- We know that both typists working together can complete the job in 6 minutes.
- So, x/3 = 6.

Step 6: Solve the equation to find the value of 'x'.
- Multiply both sides of the equation by 3: x = 6 * 3 = 18.

Conclusion:
Therefore, the slower typist would take 18 minutes to complete the typing job working alone.
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DIRECTIONS:Choose the most appropriate answer.Q. Two typists of varying skills can do a typing job in 6 minutes if they work together. If the first typist typed 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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DIRECTIONS:Choose the most appropriate answer.Q. Two typists of varying skills can do a typing job in 6 minutes if they work together. If the first typist typed 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 Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about DIRECTIONS:Choose the most appropriate answer.Q. Two typists of varying skills can do a typing job in 6 minutes if they work together. If the first typist typed 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 Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS:Choose the most appropriate answer.Q. Two typists of varying skills can do a typing job in 6 minutes if they work together. If the first typist typed 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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