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In a race the man who came two place ahe...

In a race the man who came two place ahead of the last man finished one place ahead of the man who came three places behind the man just ahead of the one who stood second.How many men finished the race?

A

6

B

5

C

4

D

8

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break down the information provided in the question: 1. **Identify the Last Man**: Let's denote the last man in the race as position "L". 2. **Man Two Places Ahead of the Last Man**: The man who finished two places ahead of the last man (L) would be in position "L-2". 3. **Man One Place Ahead of Another**: This man (L-2) finished one place ahead of another man who came three places behind the man just ahead of the one who stood second. 4. **Identify the Second Place**: Let's denote the man who stood second as position "2". The man just ahead of the second place would be in position "1". 5. **Man Three Places Behind the First**: The man who is three places behind the first man (position 1) would be in position "4" (1 + 3 = 4). 6. **Identify the Man One Place Ahead of Position 4**: The man who is one place ahead of the man in position 4 would be in position "3" (4 - 1 = 3). 7. **Relate the Positions**: Now we know: - The man in position L-2 finished one place ahead of the man in position 4. - Therefore, L-2 = 3 (since L-2 is one place ahead of position 4). 8. **Calculate the Last Position**: From L-2 = 3, we can find L: - L = 3 + 2 = 5. 9. **Total Number of Men**: Since L represents the last position, we conclude that there are 5 men who finished the race. ### Final Answer: **Total number of men who finished the race = 5.**
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