Twenty workers can finish a piece of work in $30$ days. After how many days should $5$ workers leave the job. So that the work is completed in $35$ days?

5 d a y s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 d a y s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15 d a y s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

20 d a y s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $15 d a y s$
Let one day work of a worker be $x$
$20$ worker work in $30$ days
$= 20 x (30) = 600 x ⟶ (i)$
Final condition
Let $5$ workers leave after $n$ days
Hence total work in $35$ days
$= x (n) (20) + 15 (35 - n) (x) = 20 n x + 525 x - 15 n x ⟶ (i i)$
According to question,
$(i) = (i i) \Rightarrow 600 x = 20 n x + 525 x - 15 n x \Rightarrow 5 n x = 75 x \Rightarrow n = 15$

Suggest Corrections

Similar questions

Q. A work can be completed by

40

workers in

40

days. If

5

workers leave every

10

days, in how many days work will be completed?

Q. Twenty five workers were employed to complete a compound wall in 12 days.Five workers left after working for 4 days. The remaining 20 workers completed the work, in how many days the total job was completed?

14 workers take 6 days to complete a job. They work for 2.5 days and eventually 4 workers leave the job.
How many more days will the remaining 10 workers take to complete the job?

Q. A group of workers can do a piece of work in

24

days. However as

7

of them were absent it took

30

days to complete work. How many people actually worked on the job to complete it?

Q. Two workers can do half of the work in

30

days. In how many days can

3

workers complete the entire work?

Join BYJU'S Learning Program

Twenty workers can finish a piece of work in 30 days. After how many days should 5 workers leave the job. So that the work is completed in 35 days?

Twenty workers can finish a piece of work in $30$ days. After how many days should $5$ workers leave the job. So that the work is completed in $35$ days?