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.
