A can do a piece of work in 60 days, Which B can do in 40 days. Both started the work but A left 10 days before the completion of the work. In how many days the work was completed? *
Answers
Answer:
Answer is 30.67 days. Therefore, together they take 24 days to complete the work. Now, if A left 10 days before completion then, Number of days A & B worked together = 24-10 = 14 days.
Step-by-step explanation:
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||✪✪ GIVEN ✪✪||
- A can do a piece of work in 60 days.
- B can do in 40 days.
- A left 10 days before the completion of the work ...
|| ✰✰ ANSWER ✰✰ ||
→ LCM of 60 and 40 = 120 units = Let Total work.
So,
→ A per day work = (120/60) = 2 units.
→ B per day work = (120/40) = 3 units.
Now, Given That, A left 10 days before The completion of the work.
That Means in Last 10 days only B alone completed the rest work.
→ in Last 10 days be Did = 3*10 = 30 units of work.
__________
Left work = 120 - 30 = 90 units .
So, we can say That, This work was done by now A + B both ..
So, They will take = 90/(2+3) = 18 days.
Hence, Total Number of days to complete the work = 18 +10 = 28 days. (Ans).