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?

1 answer

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.