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Mohan can do a work in 15 days. After working for 3 days he is joined by Vinod. If they complete the remaining work in 3 more days, in how many days can Vinod alone complete the work?
- a)10 days
- b)8 days
- c)5 days
- d)12 days
- e)15 days
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Mohan can do a work in 15 days. After working for 3 days he is joined ...
Total days Mohan worked = 3+3 = 6
6/15 = 2/5
So 3/5 = 3/x
x = 5
6/15 = 2/5
So 3/5 = 3/x
x = 5
Community Answer
Mohan can do a work in 15 days. After working for 3 days he is joined ...
Given information:
- Mohan can complete a work in 15 days.
- After working for 3 days, Vinod joins Mohan.
- They complete the remaining work in 3 more days.
To find:
- In how many days can Vinod alone complete the work?
Approach:
1. Let's assume the total work is 1 unit.
2. Mohan can complete 1 unit of work in 15 days.
3. Mohan's 1 day work = 1/15 units.
4. After working for 3 days, Mohan completes 3/15 = 1/5 units of work.
5. Remaining work = 1 - 1/5 = 4/5 units.
6. Vinod and Mohan complete this remaining work in 3 days.
7. Vinod and Mohan's combined 1 day work = 4/5 units / 3 days = 4/15 units per day.
8. Vinod's 1 day work = Combined work rate - Mohan's 1 day work = 4/15 - 1/15 = 3/15 units.
9. Vinod can complete the work in 15/3 = 5 days.
Therefore, Vinod alone can complete the work in 5 days. Hence, option (c) is the correct answer.
- Mohan can complete a work in 15 days.
- After working for 3 days, Vinod joins Mohan.
- They complete the remaining work in 3 more days.
To find:
- In how many days can Vinod alone complete the work?
Approach:
1. Let's assume the total work is 1 unit.
2. Mohan can complete 1 unit of work in 15 days.
3. Mohan's 1 day work = 1/15 units.
4. After working for 3 days, Mohan completes 3/15 = 1/5 units of work.
5. Remaining work = 1 - 1/5 = 4/5 units.
6. Vinod and Mohan complete this remaining work in 3 days.
7. Vinod and Mohan's combined 1 day work = 4/5 units / 3 days = 4/15 units per day.
8. Vinod's 1 day work = Combined work rate - Mohan's 1 day work = 4/15 - 1/15 = 3/15 units.
9. Vinod can complete the work in 15/3 = 5 days.
Therefore, Vinod alone can complete the work in 5 days. Hence, option (c) is the correct answer.
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Mohan can do a work in 15 days. After working for 3 days he is joined by Vinod. If they complete the remaining work in 3 more days, in how many days can Vinod alone complete the work?a)10 daysb)8 daysc)5 daysd)12 dayse)15 daysCorrect answer is option 'E'. Can you explain this answer?
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