A is 50% as efficient as B.C does half of the work done by A and B together .
A is 50% as efficient as B.C does half of the work done by A and B together .If C along does the work in 40 days then A,B,C
together can do the work in?
Answer/Solution
13 1/3 days
Steps/Work
A's 1 day's work:B's 1 day's work=150:100=3:2
let A's and B's 1 days work be 3x and 2x respectively
then C's 1st days work=(3x+2x)/2=5x/2
5 x/2=1/40
x=1/100
A's 1 day work=3/100
B's 1 day work=1/50
C's 1 day work=1/40
(A+B+C)'s 1 day work=(3/100+1/50+1/40)=15/200=3/40
so A,B,C together can do the work in 40/3=13 1/3 days
Answer(C)
let A's and B's 1 days work be 3x and 2x respectively
then C's 1st days work=(3x+2x)/2=5x/2
5 x/2=1/40
x=1/100
A's 1 day work=3/100
B's 1 day work=1/50
C's 1 day work=1/40
(A+B+C)'s 1 day work=(3/100+1/50+1/40)=15/200=3/40
so A,B,C together can do the work in 40/3=13 1/3 days
Answer(C)