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# Jack has $800,000 in his pocket nothing but cash, but he spent 700,000 on parts for his plane. Jack is planning a road trip back home. if ga 0 469 2 Jack has$800,000 in his pocket nothing but cash, but he spent 700,000 on parts for his plane. Jack is planning a road trip back home. if gas is $400 a gallon and his trip is 600 miles, will he make it home? Guest Jun 18, 2015 ### Best Answer #2 +94081 +10 Thanks Chris I had to think quite hard about this - maybe I shouldn't admit that :)) He has a maximum of$100,000 for fuel

Fuel costs $400 per gallon so he has enough money for 100,000 / 400 = 250 gallons Now the distance is 600 miles so it will be alright so long has he gets at least $$\frac{600\;miles}{250\;gallons}=\frac{2400\;miles}{1000\;gallons}=2.4miles/gallon$$ Just like Chris said Melody Jun 19, 2015 #1 +92365 +10 As long as this inequality is satisfied, he can make it back home..... ($400)( 600) / x  ≤   $100,000 where x is the mpg of gas that his car gets ......so.....rearranging 240,000/100,000 ≤ x 2.4 ≤ x In other words, as long as his car gets at least 2.4 mpg of gas, he can make it back CPhill Jun 18, 2015 #2 +94081 +10 Best Answer Thanks Chris I had to think quite hard about this - maybe I shouldn't admit that :)) He has a maximum of$100,000 for fuel

Fuel costs \$400 per gallon so he has enough money for

100,000 / 400 = 250 gallons

Now the distance is 600 miles so it will be alright so long has he gets at least

$$\frac{600\;miles}{250\;gallons}=\frac{2400\;miles}{1000\;gallons}=2.4miles/gallon$$

Just like Chris said

Melody  Jun 19, 2015