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Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ?
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Two typist of varying skills can do a job in 6 minutes if they work to...
Problem Statement: Two typists of varying skills can do a 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 15% of the whole work. How many minutes would it take the slower typist to complete the typing job working alone?
Solution:
Let's assume that the faster typist types x words per minute and the slower typist types y words per minute.
Step 1: Calculate the fraction of work done by the faster typist in 1 minute:
The faster typist types x words per minute, so in 1 minute, he/she will complete 1/6th of the work. Therefore, in 4 minutes, the faster typist will complete 4/6th of the work.
Step 2: Calculate the fraction of work done by the slower typist in 1 minute:
Let's assume that the slower typist takes t minutes to complete the job working alone. Therefore, in 1 minute, he/she will complete 1/t of the work.
Step 3: Calculate the fraction of work left after the first typist types for 4 minutes and the second typist types for 6 minutes:
The first typist completes 4/6th of the work in 4 minutes, which means that 2/6th of the work is left. The second typist completes 1/6th of the work in 6 minutes, which means that 5/6th of the work is completed. Therefore, the fraction of work left after 4+6=10 minutes of typing is:
(2/6) + (1-5/6) = 1/6
Step 4: Set up an equation and solve for t:
We know that the two typists can complete the job in 6 minutes, so we can set up the following equation:
(1/x + 1/t) * 6 = 1
We also know that after the first typist types for 4 minutes and the second typist types for 6 minutes, they are left with 1/6th of the work. Therefore, we can set up the following equation:
(4/6)*(1/x) + (6/6)*(1/y) = 5/6
Simplifying the equation, we get:
2/3x + 1/y = 5/6
Multiplying both sides by 6xy, we get:
4y + 6x = 5xy
Solving for y, we get:
y = (24x)/(5x-4)
Therefore, it would take the slower typist (24x)/(5x-4) minutes to complete the typing job working alone.
Solution:
Let's assume that the faster typist types x words per minute and the slower typist types y words per minute.
Step 1: Calculate the fraction of work done by the faster typist in 1 minute:
The faster typist types x words per minute, so in 1 minute, he/she will complete 1/6th of the work. Therefore, in 4 minutes, the faster typist will complete 4/6th of the work.
Step 2: Calculate the fraction of work done by the slower typist in 1 minute:
Let's assume that the slower typist takes t minutes to complete the job working alone. Therefore, in 1 minute, he/she will complete 1/t of the work.
Step 3: Calculate the fraction of work left after the first typist types for 4 minutes and the second typist types for 6 minutes:
The first typist completes 4/6th of the work in 4 minutes, which means that 2/6th of the work is left. The second typist completes 1/6th of the work in 6 minutes, which means that 5/6th of the work is completed. Therefore, the fraction of work left after 4+6=10 minutes of typing is:
(2/6) + (1-5/6) = 1/6
Step 4: Set up an equation and solve for t:
We know that the two typists can complete the job in 6 minutes, so we can set up the following equation:
(1/x + 1/t) * 6 = 1
We also know that after the first typist types for 4 minutes and the second typist types for 6 minutes, they are left with 1/6th of the work. Therefore, we can set up the following equation:
(4/6)*(1/x) + (6/6)*(1/y) = 5/6
Simplifying the equation, we get:
2/3x + 1/y = 5/6
Multiplying both sides by 6xy, we get:
4y + 6x = 5xy
Solving for y, we get:
y = (24x)/(5x-4)
Therefore, it would take the slower typist (24x)/(5x-4) minutes to complete the typing job working alone.
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Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ?
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Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ?.
Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two typist of varying skills can do a 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 1515 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ?.
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