And one day and he traveled five times the sum of the number of hours brian traveled and 2 together they travel 20 hours find the number of hours each person traveled

Let X represent the number of hours you travelled
Let B represent number of hours Brian travelled 

Equation 1 is X + B = 20 (since combination of number of hours you and Brian travelled equal to 20 hours)
Equation 2 is M = 5B (since you travelled five times more than the amount in which Brian travelled)

Plug Equation 2 into Equation 1 (replacing M with its value)
5B + B = 20

Rearrange equation to make B its subject (find B)
6B = 20
6B/6 = 20/6
B = 3(1/3)
Brian travelled a total of 3(1/3) (three and a third) hours. 
(1/3) of an hour = 60/3  or 60*(1/3) = 20mins
Brian travelled a total of 3hrs & 20mins. 

Plug B value back into Equation 1 
M + B = 20
M + 3(1/3) = 20

Rearrange equation to make M its subject (find M)
M = 20 - 3(1/3) = 16(2/3) 
You travelled a total of 16(2/3) (sixteen and two-thirds) hours.
(2/3) of an hour = 60/3*2 or 60*(2/3) = 40mins
You travelled a total of 16hrs & 40mins.