Given:
Let B represent number of hours Brain travelled
Let A represent number of hours Annie travelled.
Since number of hours Annie travelled is 3 time and 2 that of Brain and they travelled for a total of 8 hours, we have:
Annie travelled = 3(B + 2)
Total number of hours travelled = 3(B + 2) + B = 12
Solve for B:
3(B + 2) + B = 12
3B + 6 + B = 12
4B + 6 = 12
4B = 12 - 6
4B = 6
[tex]B\text{ = }\frac{6}{4}\text{ = }\frac{3}{2}\text{ = 1}\frac{1}{2}[/tex]
Brain travelled for 1½ hours
LEt's find the number of hours annie travelled:
A = 3(B + 2)
Substitute B for 1½
A = 3(1½ + 2)
= 4.5 + 6 = 10.5 = 10½
Therefore Annie travelled for 10½ hours.
Brain ravelled for 1½ hours
Annie travelled for 10½ hours.
We have:
[tex]h+3(h+2)\text{ = 12}[/tex]
Where h represents number of hours Brain travelled
