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Manohar and Ragu can separately do a piece of work in 15 and 18 days respectively. They worked together for 6 days, after which Ragu was replaced by Ranjith. If the work was finished in next 1(1/3) days, then find the number of days in which Ranjith alone could do the work?
8(3/4) days
9(5/6) days
10(2/5) days
7(1/2) days
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I think 10 (2/5) days please mark as a brainliest and please follow me
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Step-by-step explanation:
Given Manohar and Ragu can separately do a piece of work in 15 and 18 days respectively. They worked together for 6 days, after which Ragu was replaced by Ranjith. If the work was finished in next 1(1/3) days, then find the number of days in which Ranjith alone could do the work?
- Manohar can do a piece of work in 15 days.
- So one day’s work will be 1/15
- Ragu can do a piece of work in 18 days
- So one day’s work will be 1/18
- So the work together will be 1/15 + 1/18
- = 6 + 5 / 90
- = 11 / 90
- Now the work done together for 6 days will be 11 / 90 x 6
- = 66 / 90
- = 11 / 15
- According to question Ragu was replaced by Ranjith.
- Now remaining work done by Manohar and Ranjith is
- = 1 – 11/15
- = 4/15
- Now the work was finished in 1 1/3 = 4/3 days.
- So together work of 4/15 will be finished in 4/3 / 4/15
- = 4/3 x 15/4
- = 5 days
- Now one day’s work of Ranjith will be 1/5 – 1/15
- = 3 – 1 /15
- = 2/15
- So the number of days Ranjith alone can complete will be
- = 15/2 days
- = 7(1/2) days
Reference link will be
https://brainly.in/question/16552774
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