1515\frac{1}{5} of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? " /> 1515\frac{1}{5} of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? " /> 1515\frac{1}{5} 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
15
of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ?

  • 110 minutes
  • 215 minutes
  • 312 minutes
  • 420 minutes
Answer:- 1
Explanation:-

Solution:
Working efficiency of both typist together,
=
1006
= 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
15
(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
1006.66
= 15.01 = 15 minutes.

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of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? ", "text": "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
15
of the whole work. How many minutes would it take the slower typist to complete the typing job working alone ? ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "
Solution:
Working efficiency of both typist together,
=
1006
= 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
15
(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
1006.66
= 15.01 = 15 minutes. ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
Working efficiency of both typist together,
=
1006
= 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
15
(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
1006.66
= 15.01 = 15 minutes. ", "dateCreated": "7/24/2019 10:09:12 AM" } }
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