alice fox's step is 3/5 m and basil cat's step is 4/5m.
note: i will be using 1/5m instead of 20 cm to keep the units consistent
1. Set up table
| Step Length | # of steps | Distance
A | x | 240/x | 240
B | x+1/5 | 240/x+1/5 | 240
2. set up equation
240/x - 100 = 240/x+0.2
3. Multiply the bases to make it:
240x+48 - 100x^2 -20x = 240x
= 100x^2-20x+48=0
4. Use vieta's theorem or quadratic equation to solve for x
x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative
5. plug back in
A | 3/5
B | 3/5+1/5
so: alice fox's step is 3/5 m and basil cat's step is 4/5m.
hope this was helpful!!
