Not Just an Odd Path

Solution

Brenda start here↓					José start here↓
1	5	2	8	9	4	29	10	12	60
6	7	4	14	15	8	31	37	55	13
3	11	15	19	20	16	18	20	26	32
17	12	14	21	88	39	47	29	43	34
42	30	36	27	33	54	52	48	44	40
91	28	50	46	35	56	5	67	59	69
68	45	72	80	41	64	61	74	62	77
71	65	57	53	49	68	78	84	90	94
83	38	92	32	92	75	57	93	87	96
99	86	25	82	24	70	66	97	22	100
end Barbara					end José

Brenda's path has 18 boxes.
José's path has 22 boxes.

Explanation

Brenda's path follows the odd numbers.
She has 18 boxes in her path.
Each box in her path is an odd number that is greater than the number in the box before it.
José's path follows the even numbers.
He has 22 boxes in his path.
Each box in his path is an even number that is greater than the number in the box before it.

The digit in the ones place tells whether the number is odd or even.