Question

A group of men decided to do a job in 5 days, but 10 men kept dropping out every day. If the job was completed at the end of the 6
t
h
day, find the initial number of men who had signed up for the work.
120
150
160
180

Answer 1

Answer:

let the initial no. of men worked be x

men worked on 1st day = x

men worked on 2nd day = x-10

men worked on 3rd day = x-20

men worked on 4th day = x-30

men worked on 5th day = x-40

men worked on 6th day = x-50

so,

5x = x + (x-10) + (x-20) + (x-30) + (x-40) + (x-50)

5x = 6x - 150

5x - 6x = -150

-x = -150

x = 150