Question

In a NSS camp, a certain number of
students can dean the ground in 8 days.
However 16 of the students were absent
due to illness and it took 10 days to
complete the work. How many students
were there in total?​

Answer 1

There were 80 students in total

Step-by-step explanation:

Let the work done by 1 student in 1 day is 1/x

Let there are N students

Work done by N students in 1 day = N/x

Work done by N students in 8 days = 10N/x

According to the question

8N/x = 1

or, N/x = 1/8

Since 16 students were absent

Therefore, now total students = N - 16

Work done by N - 16 students in 1 day = (N-16)/x

Work done by N - 16 students in 10 days = 10(N-16)/x

According to the question

10(N-16)/x = 1

or, N/x - 16/x = 1/10

or, 1/8 - 16/x = 1/10

or, 16/x = 1/8 - 1/10

or, 16/x = 1/40

or, 1/x = 1/640

Therefore,

N = 640/8 = 80

Therefore, the number of students = 80

Hope this answer is helpful,

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Answer 2

Given :   In a NSS camp, a certain number of students can clean the ground in 8 days. However 16 of the students were absent due to illness and it took 10 days to complete the work

To find : how many students were there in Total

Solution:

Let say Number of students = S

work done in 8 days

Hence work = 8S  man Days

16 students were absent and work took 10 days

work done = (S - 16) * 10  man days

equating work

8S   =  (S - 16) * 10

=> 2S= 160

=> S = 80

80 students were there in Total

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