SOLUTION: A car travelled the first 240km at a certain speed and then the next 192km 8kph faster than its initial speed. What is its initial speed if the entire trip took 10 hours?
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Question 1045491: A car travelled the first 240km at a certain speed and then the next 192km 8kph faster than its initial speed. What is its initial speed if the entire trip took 10 hours? Answer by jorel555(1290) (Show Source):
You can put this solution on YOUR website! Let n be the initial speed. Then:
240/n+192/(n+8)=10
240(n+8)+192n=10(nē+8n)
432n+1920=10nē+80n
10nē-352n-1920=0
5nē-176n-960=0
(5n+24)(n-40)=0
n=40,-24/5
Throwing out the negative result, we get 40 kph as the original speed. ☺☺☺☺
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