A group of workers accepted to do a piece of work in $25$ days. If six of them did not turn up for the work and the remaining workers did the work in $40$ days, then the original number of workers were

22

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

20

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

18

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

16

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

Open in App

Solution

The correct option is B $16$
Let the total number of persons be $N$
$∴$ $N$ persons can do work in $25$ days.
$N - 6$ persons do work in $\frac{25 \times N}{N - 6}$ days.
Given, $\frac{25 \times N}{N - 6} = 40$
$\Rightarrow 25 N = 40 N - 240$
$\Rightarrow 15 N = 240$
$\Rightarrow N = 16$

Suggest Corrections

Similar questions

A group of 48 workers can complete a piece of work in 11 days. But 48 workers worked on first day, 44 workers worked on second day, 40 workers worked on third day and so on. Unfortunately, on the 10th day, they had to restart the entire work . Then, find the time taken by the remaining workers to complete the entire work.

Q. A group of workers estimate to finish a work in 10 days, but 5 workers could not join the work. If the rest of them finished the work in 12 days, then the number of workers present in the team originally is

24

workers working

6

hours a day can finish a piece of work in

14

days. If each worker works for

7

hours a day, find the number of workers to finish the same piece of work in

8

days.

Q. A group of 48 workers can complete a piece of work in 11 days. But 48 workers worked on first day, 44 workers worked on second day, 40 workers worked on third day and so on. Unfortunately, on the 10th day, all the work got ruined. Then, find the time taken by the workers left on 10th day to complete the entire work.

150 workers were engaged to finish a piece of work in a certain number of days. Four workers stopped working on the second day, four more workers stopped their work on the third day and so on. It took 8 more days to finish the work. Then the number of days in which the work was completed is

Join BYJU'S Learning Program

A group of workers accepted to do a piece of work in 25 days. If six of them did not turn up for the work and the remaining workers did the work in 40 days, then the original number of workers were

The correct option is B 16Let the total number of persons beN∴ N persons can do work in 25 days.N−6 persons do work in 25×NN−6 days. Given, 25×NN−6=40⇒25N=40N−240⇒15N=240⇒N=16

A group of workers accepted to do a piece of work in $25$ days. If six of them did not turn up for the work and the remaining workers did the work in $40$ days, then the original number of workers were

The correct option is B $16$
Let the total number of persons be $N$
$∴$ $N$ persons can do work in $25$ days.
$N - 6$ persons do work in $\frac{25 \times N}{N - 6}$ days.
Given, $\frac{25 \times N}{N - 6} = 40$
$\Rightarrow 25 N = 40 N - 240$
$\Rightarrow 15 N = 240$
$\Rightarrow N = 16$