Question

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.

Answer 1

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)