a b and c together can complete a piece of work in..., Latest Questions, General Mathematics

Question:A,B and C together can complete a piece of work in 10 days.All the three started working at it together and after 4 days, A left.Then,B and C together complete the work in 10 more days.A alone could complete the work in complete the work in 10 more days. A alone could complete the work in

A 15 days 
B 16 days 
C 25 days 
D 50 days

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+ AnswerC

+ Explanation(A + B + C)'s 4 days work` = (1/10 xx 4)`

     `= 2/5`

Remaining work` = (1 - 2/5) = 3/5`

 `3/5` work is done by (B + C) in days

whole work can be done by (B + C) in `((10 xx 5)/3)`days

  :. (B + C)'s 1 days work `= 3/50`

A's 1 days work` = (1/10 - 3/50)`

                      `= 1/25`

:. A alone can finish the work in 25 days

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