Answer:
58 miles
Step-by-step explanation:
One truck second truck
rate 85 60
time t t
Distance d + 10 d -10
d + 10 = 85t d - 10 = 60t
d = 85= -10 d = 60t +10
Set the two equations equal to each other and solve
85t -10 = 60t + 10 Subtract 60t from each side
25t - 10 = 10 Add 10 to each side
25 t = 20 Divide both sides by 25
t = [tex]\frac{4}{5}[/tex]
Each were driving 4/5 of an hour. Plug into the one of the equaions
d + 10 = 85t
d + 10 = 85([tex]\frac{4}{5}[/tex])
d +10 = 68 Subtract 10 from both sides
d = 58
Answer:
Step-by-step explanation:
Givens
Truck = 85 km/hr
Van = 65 km/hr
t is the time they meet
Note
Truck A is travelling faster, so the place where they meet is closest to Town B.
Solution
Let the distance travelled by the truck be
d/2 + 10
Let the distance travelled by the van be
-d/2 + 10
Let t be the time they meet
85* (d/2 + 10) /t = -60*(d/2 + 10)/t multiply both sides by t
85*(d/2 + 10)*t/t = -60*(d/2 + 10)*t/t Combine
85*(d/2 + 10) = -60(d/2 + 10) Remove the brackets.
42.5 d + 850 = -30d - 600 Add 30 d to both sides
72.5d+ 850 = - 600 Subtract 850 from both sides.
72.5d = - 600 - 850 Combine
72.5d = -1450 Divide by 72.5
d = -1450 / 72.5
d = -20
The minus means that you are looking at it from the van's point of view.
