A can do a piece of work in 14 days while B can do in 21 days. They join together.But, 3 days before the
completion of work, A leaves off. Find the total number of days taken to complete the work
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roblox I'd: aditya 7171
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Solution:-
A takes 14 days & B takes 21 days.
So, let the total work be LCM ( 14,21 ) = 42 units.
A⇏14 days = 3 units/day
B⇏21 days = 2 units/day
A + B = 5 units/day
Now, for the last 3 days, only B worked as A left
So, work done in the last three days = 2 × 3 = 6 units
Work done by A & B together = 42 - 6 = 36 units
Time taken = 365 = 7.2 days
Thus, total time = 3 + 7.2 = 10.2 days.
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