Question

P can do a work in 24 days. Q can do the same work in 9 days and r can do the same in 12 days. Q and r start the work and leave after 3 days. P finishes the remaining work in __ days.

Answer 1

Answer:

10 days

Step-by-step explanation:

P,

in 24 days complete work

in 1 day=1/24

Q,

in 9 days complete work

in 1 day=1/9

R,

in12 days complete work

in 1 day=1/12

(Q+R) do in 1day,

=1/9+1/12

=(4+3)/36

=7/36

in 3 days they do,7/36×3=7/12

rest work,

1- 7/12

=5/12

P,

1/24 does in 1day

therefore 5/12 does in (24×5)/12=10 days