Question

2) x takes 4 days to complete 1/3 of job, y takes 3 days to complete 1/6th of the same work and z takes 5 days to complete half the job. If all of them work together for 3 days and x and z quit. How long will it take for y to complete remaining work alone?

Answer 1

speed of x to comp. the total work = 12 days,speed of y to comp. the total work=18 days, speed of z to comp the total work= 10 days so their total speed =(y-x)=6

(10-6)=4

so their speed is 4days to comp the work now 3 days work is comp. and 1 days work is remaining , so speed of y is 1/6 in 3days in 1 day speed = 1/2 of work so it will take 2 days to comp work