Quantitative Aptitude :: Time and Work - Discussion

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Explanation:
Time ratio is 3:2, so
3 min for old = 2 min fro young
1 min for old = 2/3 min fro young
Now we will take multiple of 3 both side,
3 min for old = 2 min fro young
6 min for old = 4 min fro young
9 min for old = 6 min fro young
12 min for old = 8 min fro young
15 min for old = 10 min fro young and so on
Now the difference of time to start for old and young is 5 min. So when they meet then old will take 5 minute more than young ( or their time difference should be 5 min) which is given by only
15 min for old = 10 min fro young
So at 10:15 for old and for young it is 10:05 + 10 min = 10:15