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Q.

A and B can do a piece of work in 30 days. While B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days before B and C leave. How many days more will A take to finish the work?


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a

18 days

b

24 days

c

30 days

d

36 days 

answer is A.

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Detailed Solution

Concept- In order to answer this issue, we must ascertain how many more days A will need to do
the remaining job after B and C abandoned it after 10 days. For this, we'll employ the unitary technique and the idea that the sum of the labor done by each worker in a day equals the overall work performed in a day.
Question Image 's one day's work Question ImageQuestion Image 's one day's work Question ImageQuestion Image 's one day's work Question ImageQuestion Image 's one day's work Question Image Question ImageQuestion Image s 10 day's work Question ImageRemaining work, Question Image (which is done by A)
From (1) and (2) , A's one day's work Question ImageQuestion Image Remaining Question Image of the work is done by A alone in Question Image days.
 Hence, the correct answer is option 1) 18 days
 
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