SOLUTION: A certain upgrade causes a high-tech space probe to travel at 5 light years per century instead of 3.75 light years per century, so that it can reach the Horsehead Nebula 10 000 ye
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Question 1106410: A certain upgrade causes a high-tech space probe to travel at 5 light years per century instead of 3.75 light years per century, so that it can reach the Horsehead Nebula 10 000 years faster. How far away is the Horsehead Nebula, in light years? Found 2 solutions by stanbon, ikleyn:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A certain upgrade causes a high-tech space probe to travel at 5 light years per century instead of 3.75 light years per century, so that it can reach the Horsehead Nebula 10 000 years faster. How far away is the Horsehead Nebula, in light years?
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Original DATA::
dist to HN = x light years ; rate = 3.75 ly/c ; time = x/3.75 c
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Changed DATA:
dist to HN = x ly ; rate = 5 ly/c ; time = x/5 c
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Equation:: x/3.75 c - x/5 c = 100 c
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5x - 3.75x = 3.75*5*100
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1.25x = 5*375
Answer:: x = 5*3 = 15 light years
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Cheers,
Stan H.
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