A and B can do a work in 40 days and 60 days respectively. They work together. After 6 days B leaves from the work and A continued. After 5 more days C joins with A and both completes the remaining work in 5 days. In how many days C alone can do it. plz answer fast.
Answers
Answered by
1
Answer:
30
Explanation:
If A and B can do a work in 40 days and 60 days respectively. They start work together and work for 15 days then C joins them and they finish the work in 20 days. If they get total wage of Rs 720 then, What is the share of C?
A and B together can complete the whole work in
= 40 x 60/(40+60)= 24- days.
The part of the work completed in 15- days= 15/24.
The remaining part of (1–15/24) = 9/24 part of the work is finished in (20- 15)= 5- days, with the assistance of 'C'.
If C- alone can complete the work in X -days, then
5 x (1/24 + 1/X)= 9/24.
So 1/24 + 1/X= 9/120
So 5/120 + 1/X = 9/120.
So 1/X= 9/120 - 5/120 =4/120= 1/30.
So C- alone can finish the complete work in 30- days
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ans is 30 mark me as bralnlyest
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