A small ant climbs 5cm in 1 min and slips down 3cm .how much time it will take to climb to 6cm
Homework
To find out how long it will take for the ant to climb to a height of 6cm, we need to determine the number of cycles it takes for the ant to reach that height.
In each cycle, the ant climbs 5cm but slips down 3cm. So the net gain in height per cycle is 5cm - 3cm = 2cm.
We can set up the equation:
2cm per cycle × number of cycles = 6cm.
To solve for the number of cycles, divide both sides of the equation by 2cm:
number of cycles = 6cm ÷ 2cm = 3 cycles.
Therefore, it will take the ant 3 cycles to climb to a height of 6cm.
Now, to determine the time it will take, we need to multiply the time per cycle by the number of cycles.
Given that the ant climbs 5cm in 1 min, it will take 3 cycles × 1 min per cycle = 3 minutes for the ant to climb to a height of 6cm.
To determine how much time it will take for the ant to climb to 6cm, we need to calculate the number of cycles of climbing and slipping it would take to reach that height.
Let's break down the ant's movements:
- The ant climbs 5cm in 1 min.
- The ant slips down 3cm.
So, in each cycle, the ant covers a net distance of 5cm - 3cm = 2cm.
To find out how many cycles are needed for the ant to climb to 6cm, we can divide 6cm by the net distance covered in one cycle (2cm).
6cm ÷ 2cm = 3 cycles
Therefore, the ant will take 3 cycles to climb to 6cm.
Now, if we assume that each cycle (climbing + slipping) takes 1 minute, then the time it will take for the ant to climb to 6cm would be 3 minutes.
the ant climbs one cm in 12 seconds (1/5 of a minute)
after the 1st minute , the ant is at 2 cm (5 cm up , 3 cm slip)
... from there , the ant climbs 4 cm to the 6 cm level
so, how long did it take?