Identical ‘good’ Tomatoes are placed in a tray.12345678910111213141516Tomato no. 5 is the bad tomatoEach tomato is a sphere.Each tomato just touches all the tomatoes next to it as shown on the diagram.Tomato 5 goes bad first.One hour later, all the tomatoes it touches go bad (Now tomatoes 5, 1, 6 and 9 are bad). Another hour later the bad tomatoes make all the good tomatoes they touch go bad. This continues until all the tomatoes in the box are bad.
12345678910111213141516E.g. no. 5 is the bad tomato 1-hour later tomatoes no.1, 6 and 9 are bad. Another hour later tomatoes 2, 7, 10 and 13 are bad.
Another hour later tomatoes 3, 8, 11 and 14 are bad. Another hour later tomatoes 4, 12 and 15 are bad.Another hour later tomato 16 is bad.HoursNo of bad tomatoesBad tomato no.1 st hour21, 6, 92nd hour42, 7, 10, 133rd hour43, 8, 11, 144th hour34, 12, 155th hour116What would happen if tomato no.
1 was the bad tomato?12345678910111213141516HoursNo of bad tomatoesBad tomato no.1st hour22, 52nd hour33, 6, 93rd hour44, 7, 10, 134th hour38, 11, 145th hour212, 156th hour116What would happen if tomato no.6 was the first bad tomato?12345678910111213141516HoursNo of bad tomatoesBad tomato no.1st hour42, 5, 7, 102nd hour61, 3, 8, 11, 9, 143rd hour44, 12, 13, 154th hour116I have found out that if tomato no.5 goes bad first it would take the same amount of time to make, the whole tray bad if tomato nos.2, 3, 12, 14, 15, and 9 were the 1st tomato to go bad first it would take 5 hours.
I have also found out that if tomato no.6 goes bad first it would take the same amount of time to make the whole tray bad if tomato nos.7, 10 and 11 were the 1st tomatoes to go bad first. It would take 5 hours.Another number pattern I have discovered is that if tomato no. 1 was the first to go bad it would take the same amount of time for the whole tray to go bad if tomato nos.
4, 13 or 16 were the first tomatoes to go bad.It would take 6 hours.