SOLUTION: two cars are traveling down the highway with the same speed. If the first car increases its speed by 10 kilometers per hour, and the other car decreases its speed by 10 kilometers

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Question 1054451: two cars are traveling down the highway with the same speed. If the first car increases its speed by 10 kilometers per hour, and the other car decreases its speed by 10 kilometers per hour, then the first car will cover the same distance for 2 hours as the second car for 3 hours. what is the speed of the cars?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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two cars are traveling down the highway with the same speed.
If the first car increases its speed by 10 kilometers per hour, and the other car decreases its speed by 10 kilometers per hour, then the first car will cover the same distance for 2 hours as the second car for 3 hours.
what is the speed of the cars?
:
let s = the original speed
Write a distance equation; dist = time * speed
3(s-10) = 2(s+10)
3s - 30 = 2s + 20
3s - 2s = 20 + 30
s = 50 km/hr is the original speed
:
:
confirm this, find the distances
3(50-10) = 120 km
2(50+10) = 120 km