Answer:
12 km
Step-by-step explanation:
So the situation is:
8 km/h for X hours
6 km/h for y hours
X * 8 + y * 6 = 26.4
and X + Y = 3.9 hours
Since 234/60 = 3.9 hours
You could write that X = 3.9 - Y
(3.9-Y) * 8 + y * 6 = 26.4
31.2 -8Y +6Y = 26.4
-2Y = -4.8
Y = 2.4 hours
X = 3.9-2.4 = 1.5 hours
So 1.5 * 8 = 12 km
Answer:
AB = 12km
Step-by-step explanation:
From the question we can get the following information,
The whole trip is 26.4 km and 3.9 hours ([tex]\frac{234}{60}[/tex]), and we can form the following two equations.
[tex]x + y = 3.9[/tex] and [tex](x*8km/h) + (y*6km/h) = 26.4km[/tex]
Where X is distance between A and B, and Y is distance between B and C. We can solve the first equation for X and plug X into the second equation.
[tex]x = 3.9 - y[/tex] ........ and we can plug it into the the second equation and solve for y
[tex]((3.9-y)*8)+(6y) = 26.4[/tex]
[tex](31.2-8y)+6y = 26.4[/tex]
[tex]31.2-2y = 26.4[/tex]
[tex]-2y = -4.8[/tex]
[tex]y = 2.4[/tex]
Now we can plug in y to the first equation to solve for x
[tex]x = 3.9-2.4[/tex]
[tex]x = 1.5[/tex]
Finally, we can multiplay 8km/h by 1.5 hours to find the distance from A to B
[tex]AB = 8km/h * 1.5h[/tex]
[tex]AB = 12km[/tex]
