Question 795757: At the beginning of the marathon Rizza and Angel are 30 km apart. If they leave at the same time and walk in the same direction, Rizza overtakes Angel in 6 hours. If they walk towards each other, they meet in 5 hours. What are their speeds?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! r = R's speed
a = A's speed
:
At the beginning of the marathon Rizza and Angel are 30 km apart.
If they leave at the same time and walk in the same direction, Rizza overtakes Angel in 6 hours.
If they walk towards each other, they meet in 5 hours.
What are their speeds?
:
Walking the same direction
6(r - a) = 30
Simplify, divide both sides by 6
r - a = 5
:
Walking towards each other
5(r + a) = 30
divide both sides by 5
r + a = 6
:
Use elimination with these two simplified equations
r - a = 5
r + a = 6
----------Adding eliminates a, find r
2r = 11
r = 11/2
r = 5.5 km/hr is R's speed
then using equation; r + a = 6, find a
5.5 + a = 6
a = 6 - 5.5
a = .5 km/hr is A's speed
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:
You can confirm this, put these values in the two original equations
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