A and b can together finish a work in 6 days if a alone works for 2 days and completes 1/4th work in many how days b can conplete rest work
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Answered by
28
Answer
A + B = 6 days
If A works for 2 days, work done = 1/4th work
A's one day's work = 1/A
Equation:
1/2 = 4/A
A = 8
.°. A can do work in 8 days
B can do it in :
1/B = 1/6 - 1/8
1/B = 1/24
B can do it in 24 days
Answered by
21
Solution :-
A and B can together finish a work in 6 days.
(A + B)'s one day work = 1/6
Let us suppose that A's one day work = 1/x
A's two work = 2/x
=> 1/4 = 2/x
=> x = 8
Let B can do the rest work in y days.
=> 1/y = 1/6 - 1/8
=> 1/y = (4 - 3)/24
=> 1/y = 1/24
=> y = 24
Hence,
B can do the rest work in 24 days.
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