Question

Choose the correct option. On an average, a content developer can develop \[6\] questions in an hour. Resource manager wants to complete the project of \[2400\] questions in \[20\] hours. How many developers should he take in his team?
(a) \[30\]
(b) \[20\]
(c) \[40\]
(d) \[10\]

Answer 1

Hint: To solve this question, we will first find out how many questions a content developer can develop in \[20\] hours. Now it is given that, resource manager wants to complete the project of \[2400\] questions in \[20\] hours. So, we will divide \[2400\] by the number of questions the content developer developed in \[20\] hours that we calculated above.

Complete step-by-step answer:
It is given that; a content developer can develop \[6\] questions in an hour.
So, first we will find out how many questions a content developer can develop in \[20\] hours.
Now, we know that
If a work done in \[1\] hour is equals to \[x\]
then, work done in \[y\] hour is equals to \[y \times x\]
So, according to the question,
Numbers of question a content developer can developed in \[1\] hour \[ = 6\] questions
So, numbers of question a content developer can developed in \[20\] hour \[ = 20 \times 6 = 120\] questions
Now it is given that,
resource manager wants to complete the project of \[2400\] questions in \[20\] hours
and we have to find how many developers he should take in his team to complete the work.
So, required developers in the team is equals to,
\[\dfrac{{{\text{Total questions}}}}{{{\text{Questions for single developer}}}}\]
\[ \Rightarrow \] no. of developers in the team \[ = \dfrac{{2400}}{{120}}\]
On dividing we get,
no. of developers in the team \[ = 20\]
Thus, resource manager should take \[20\] developers to complete the project of \[2400\] questions in \[20\] hours
So, the correct answer is “Option B”.

Note: This question can also be done in the opposite manner.
Like, it is given that, resource manager wants to complete the project of \[2400\] questions in \[20\] hours.
i.e.,\[20\] hours \[ = \] \[2400\] questions
So, \[1\] hour \[ = \] \[\dfrac{{2400}}{{20}}\] questions \[ = 120\] questions
But it is given that,
One person can develop \[6\] questions in an hour.
\[\therefore \] number of persons required to develop \[120\] questions in an hour
\[ = \dfrac{{{\text{Total questions}}}}{{{\text{Questions by single developer}}}}\]
\[ \Rightarrow \dfrac{{120}}{6} = 20\] persons
which is the required answer.