Question

X, Y and Z can do a piece of work in 15, 12 and 30 days, respectively. They started working togethe
but Y left after 2 days. In what time will the remaining work be completed by X and Z?​

Answer 1

Answer:

6 1/3 days

Step-by-step explanation:

In 1 day, fraction of work done by

X=1/15

Y = 1/12

Z = 1/30

1 1 1 11

X+Y+Z = __+__+___ = __

15 12 30 60

1 1 1

X+Z = ___+___ = __

15 30 10

X+Y+Z 1 day work is 11/60

work done by them in 2 days is 2×(11/60) = 11/30

work remaining =1- (11/30) =19/30

X+Z does 1/10 of work in one day

X+Z does 19/30 of work in 19/3 days = 6 1/3 days

hope this is helpful