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Raju can finish a piece of work in 20 days. He worked at it for 5 days and then Jakob alone finished the remaining work in 15 days. In how many days can both finish it together?
20 days
12 days
10 days
16 days
- Raju completes the whole work in 20 days.
- This means Raju finishes 1/20 of the work each day.
- Raju worked for 5 days, so he completed 5/20 (or 1/4) of the work.
- This leaves 3/4 of the work remaining.
- Jakob finished the remaining 3/4 of the work in 15 days.
- Thus, Jakob completes 3/4 * 1/15 = 1/20 of the work each day.
- Both Raju and Jakob together complete 1/20 + 1/20 = 1/10 of the work each day.
- Therefore, they can finish the entire work together in 10 days.
- Option:1, 20 days - Too long
- Option:2, 12 days - Slightly off
- Option:3, 10 days - Correct
- Option:4, 16 days - Not plausible
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