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A and B can do a work in 15 days and 25 days, respectively. They worked together for 5 days, after which B was replaced by C
and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete the same work?
24 days
20 days
15 days
25 days
- A can complete the work in 15 days, so A’s one day work is 1/15.
- B can complete the work in 25 days, so B’s one day work is 1/25.
- Together A and B’s one day work is 115+125=875.
- In 5 days, A and B can do 875×5=4075=815 of the work.
- Remaining work is 1−815=715.
- A and C complete this remaining work in 4 days, so their one day work is 715÷4=760.
- A's one day work is 1/15, so C's one day work is 760−115=120.
- Therefore, C alone can complete the work in 20 days.
Option 2: 20 days is correct.
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