SOLUTION: [ A motorcyclist makes a trip of 500 km. If he had increased his speed 10 kph, he would have covered 600 km in the same time. What was his original speed? ]

Question 825228: [ A motorcyclist makes a trip of 500 km. If he had increased his speed 10 kph, he would have covered 600 km in the same time. What was his original speed? ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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s = original speed
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s = d / t
t = d / s
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t = 500/s
t = 600/(s + 10)
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500/s = 600/(s + 10)
500/s - 600/(s + 10) = 0
500(s + 10)/s(s + 10) - 600s/s(s + 10) = 0
(500s + 5000)/s(s + 10) - 600s/s(s + 10) = 0
500s + 5000 - 600s = 0
5000 - 100s = 0
100s = 5000
s = 5000/100
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solution:
s = 50 kph
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