A and b completed a work in 5 days

Asked by admin @ in Math viewed by 285 People

A and b completed a work together in 5 days. had a worked at twice the speed and b at half the speed, it would have taken them four days to complete the job. how much time would it take for a alone to do the work?

Answered by admin @


A one day work=1/x
B one day work=1/y

(A+B)=1/x+1/y=1/5
(x+y)/xy=1/5
5(x+y)=xy -------(1)

if A worked at twice =2/x
B worked at half=1/2y

2/x+1/2y=1/4
(4y+x)/2xy=1/4
8y+2x=xy-----(2)

substitute (2) in (1)

8y+2x=5x+5y
3y=3x

y=x that means number days worked by A alone is equal to B alone

substitute in (1)

1/x+1/x=1/5
2/x=1/5
A=10 days

B=10days










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