Iam playing ("Resident Eil"). 3 zombies attack on me. I must kill them. The speed of my shots is 1m/sec.
The distance of Myself and them is 1metter. What is minimize Time that i can kill zombies.
Assumptions:
1:the speed of each zombie is 10cm/sec.
2: in each shot i must kill only one zombie.
3:the zombies dont stop.
4:After each shot i dont stop.
5: the distance between each my shots is 1 second.
6:I shot on next zombie when the my shot targeted the previous zombie.
7: the recharged my first shot is zero second.
8: I am stay at particular 1 meter point from zombies and dont move away.
Fun Hint: I using Ak-47 for killing Zombies.
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Shot+recharg+shot+recharg+shot 1+1+1+1+1: 5 Without all assumptions its took 5 second. Because all zombie dont stop the distance between Myself and me will be decreased its means that the shot on next zombie from the previous will be decreased. So we resualted the kill all zombies less than 5 second.
By my calculate.
First zombie: 1second to kill. Second: 1+ 0.80 seconds. Third: 1+ 0.62 seconds. 1+1+0.80+1+0.62=4.42 seconds for all.
Iam very speed for killing the zombies.