a small ant climbs 3cm in 1 minute but slips down 2cm. how much time will it take to climb 4cm

start: 0 cm

1st minute: 0 + 3 - 2 = 1 cm
2nd minute: 1 + 3 = 4 cm

Therefore after 2 minutes the ant already climbed to the top (and didn't slip).

2 minutes

To determine how much time it will take for the ant to climb 4cm, we need to calculate the net distance the ant covers in one cycle of climbing and slipping. In this case, the ant climbs 3cm but also slips down 2cm, resulting in a net gain of 1cm per cycle.

Therefore, to climb 4cm, the ant will need to complete 4 cycles of climbing and slipping. Since each cycle takes 1 minute, the total time required can be calculated by multiplying the number of cycles by the time taken for each cycle.

4 cycles × 1 minute per cycle = 4 minutes

So, it will take the ant approximately 4 minutes to climb 4cm.

2 minutes

start: 0 cm

1st minute: 0 + 3 - 2 = 1 cm
2nd minute: 1 + 3 = 4 cm

Therefore after 2 minutes the ant already climbed to the top (and didn't slip).