Question
it takes the mighty ant only two weeks t obuild a tunnel underneath the ant farm, but it takes the puny ant 3 weeks. If puny can put aside his jealousy so the two of them can work together, how many weeks will it take them to build 15 tunnels?
Answers
GPT 3.5
If the mighty ant can build a tunnel in 2 weeks and the puny ant can build a tunnel in 3 weeks, we can calculate their combined efficiency for building tunnels.
The mighty ant's rate of building tunnels is 1/2 tunnels per week, and the puny ant's rate is 1/3 tunnels per week. Their combined rate is 1/2 + 1/3 = 5/6 tunnels per week.
To build 15 tunnels at a rate of 5/6 tunnels per week, it will take them 15 / (5/6) = 15 * 6/5 = 18 weeks.
Therefore, it will take the two ants 18 weeks to build 15 tunnels if they work together.
The mighty ant's rate of building tunnels is 1/2 tunnels per week, and the puny ant's rate is 1/3 tunnels per week. Their combined rate is 1/2 + 1/3 = 5/6 tunnels per week.
To build 15 tunnels at a rate of 5/6 tunnels per week, it will take them 15 / (5/6) = 15 * 6/5 = 18 weeks.
Therefore, it will take the two ants 18 weeks to build 15 tunnels if they work together.