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.

Verified Answer :

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)