A and B together cAn do a piece of work in 35days while A alone can do it in 60 days. How long would B alone take to do it?
Answers
Answered by
1
Answer :-
B alone can do the work in 84 days.
Step-by-step explanation :-
Given that,
A and B together can do a piece of work in 35 days and A's alone can do it in 60 days
Therefore,
( A + B )'s 1 day's work = 1/35, and A's 1 day work = 1/60 respectively.
A's 1 day's work = [( A + B )'s 1 day's work] - ( B's 1 day work )
= ( 1 / 35 - 1 / 60 )
= ( 12 - 7 ) / 420
= 5 / 420
= 1 / 84
Therefore, B alone can finish the work in 84 days.
Remember :-
If a person can complete a work in n days then, 1 day he does 1/n of work.
If a person can complete 1/n of a work in 1 day then, he requires n days to complete the work.
Similar questions