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A can do piece of work in 10 days B in 12 Days and C in 15 Days. All begin together but A leaves the work after 2 days B leaves 3 days before the work is finishd. How long did the work last?

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7 days

2 Days

3 Days

8 Days

answer is A.

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Detailed Solution

Given A can do the work in 10 Days, B can do the work in 12 Days and C can do the work in 15 days
Then A’s one day’s work

B’s one day’s work

C’s one day’s work

Then (A+B+C)’s one days work
Question Image

Then (A+B+C)’s one days work

Then work done in 2+3 days
Question Image

Work done by B+C together =

Total work done = 2+3+2=7 Days.
Hence, Option (1) is the correct answer.

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