SOLUTION: Two skiers are 105 kilometers apart and head towards each other. They meet in 3.5 hours. If the second skier is 8 kilometers per hour faster the the other, find the speed of each s

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Question 567238: Two skiers are 105 kilometers apart and head towards each other. They meet in 3.5 hours. If the second skier is 8 kilometers per hour faster the the other, find the speed of each skier?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Two skiers are 105 kilometers apart and head towards each other.
They meet in 3.5 hours.
If the second skier is 8 kilometers per hour faster the the other, find the speed of each skier?
:
When they do meet, their travel distances total 105 km
:
Let s = the speed of one skier
then
(s+8) = speed of the other skier
;
Write a distance equation, dist = speed * time
3.5s + 3.5(s+8) = 105
3.5s + 3.5s + 28 = 105
7s = 105 - 28
7s = 77
s = 77/7
s = 11 km/hr is the speed of one skier
and
11 + 8 = 19 km/hr speed of the other skier
;
:
Check this by finding the distance each traveled
3.5*11 = 38.5 km
3.5*19 = 66.5
---------------
total d: 105

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