SOLUTION: Suppose it takes 3 days for a space vehicle to travel from earth to the moon about how long would it take the same vehicle traveling at the same speed to reach uranus? Closest dist

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Question 188799: Suppose it takes 3 days for a space vehicle to travel from earth to the moon about how long would it take the same vehicle traveling at the same speed to reach uranus? Closest distance from earth to moon 240,000mi
uranus 1,690,000,000mi
I tried 1.69 x 10^7 I don't think it was right. I have to put the answer in scientific notation.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: 240,000 miles can be shortened to 2.4%2A10%5E5 and 1,690,000,000 can be rewritten as 1.69%2A10%5E9

d=rt Start with the distance-rate-time formula


2.4%2A10%5E5=r%283%29 Plug in d=2.4%2A10%5E5 (the distance from the earth to the moon) and r=3 (the time in days it takes to get there)


%282.4%2A10%5E5%29%2F3=r Divide both sides by 3.


8%2A10%5E4=r Divide


So the rate is r=8%2A10%5E4 which is 80,000 miles per day


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d=rt Go back to the distance-rate-time formula


1.69%2A10%5E9=%288%2A10%5E4%29t Plug in d=1.69%2A10%5E9 (the distance from earth to uranus) and r=8%2A10%5E4 (the speed we found earlier)


%281.69%2A10%5E9%29%2F%288%2A10%5E4%29=t Divide both sides by 8%2A10%5E4.


t=%281.69%2A10%5E9%29%2F%288%2A10%5E4%29 Rearrange the equation


t=0.21125%2A10%5E%289-4%29 Divide 1.69 by 8 to get 0.21125 and subtract the exponents.


t=0.21125%2A10%5E5 Subtract


t=2.1125%2A10%5E4 Move the decimal to the right (to convert to scientific notation). Remember to subtract one from the exponent (to balance the equation)


So the answer is t=2.1125%2A10%5E4 which is 21,125 days


So it will take 21,125 days for a spaceship to travel from earth to uranus.