SOLUTION: Nikki and tatianna rollerblade in opposite direction. Tatianna averages 2 mph faster than nikki. If they began at the same place and ended up 20 mi apart after 2 hrs, how fast did

Algebra ->  Linear-equations -> SOLUTION: Nikki and tatianna rollerblade in opposite direction. Tatianna averages 2 mph faster than nikki. If they began at the same place and ended up 20 mi apart after 2 hrs, how fast did       Log On


   

Question 104405: Nikki and tatianna rollerblade in opposite direction. Tatianna averages 2 mph faster than nikki. If they began at the same place and ended up 20 mi apart after 2 hrs, how fast did each of them travel?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Nikki and tatianna rollerblade in opposite direction. Tatianna averages 2 mph faster than nikki. If they began at the same place and ended up 20 mi apart after 2 hrs, how fast did each of them travel?
:
Let s = N's speed
Then
(s+2) = T's speed
:
the total distance they will travel is 20 mi, write a distance equation.
Distance = time * speed
:
N's dist + T's dist = 20 mi
2s + 2(s+2) = 20
:
2s + 2s + 4 = 20
:
4s = 20 - 4
:
s = 16/4
:
s = 4 mph is N's speed
The
4 + 2 = 6 mph is T's speed
:
:
Check solutions by finding the distance of each:
2*4 = 8 mi
2*6 = 12mi
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total 20 mi