In one day annie traveled 5 times the sum of the number of hours brian traveled and 2. together they traveled 20 hours. find the number of hours each person traveled.

Let  Ah be Annie's hour of travel in 1 day and Bh be Brian's hour

to get Brian's hour of travel:
Ah + Bh  = 20

5 (Bh +2 ) + Bh= 20
5 Bh + 10 + Bh=20
6 Bh = 20 - 10
6Bh = 10
6          6
Bh =1.66  

To get Ah of travel 1 day
Ah = 5 (Bh + 2)
     = 5 (1.66 + 2)
     = 5 ( 3.66 )
 Ah = 18.30  

Checking: Ah + Bh =20 

18.30 + 1.66 = 20
19.96 = 20 
20 = 20
(19.96 is rounded off)