Danny and Ian are munching on a jar full of candies. Had Danny eaten alone it would have taken him 5 minutes to finish the candies in the jar. Had Ian eaten alone it would have taken him 10 minutes to finish half the jar.

Since both of them are eating simultaneously, how long would it take them to empty the jar?


My method:

Danny- 1/5 of the jar in 1 minute
Ian- 1/10 of the jar in 1 minute

Together= 3/10

3/10*t=1

t= 10/3

10/3= wrong.

What am I doing wrong?