SOLUTION: One tank of gas will take a car 400 km if the car is driving at 100 km/hr. However if the car is driven at 50 km/hr the rate of gas consumption is 1/3 less. How much longer (in km

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: One tank of gas will take a car 400 km if the car is driving at 100 km/hr. However if the car is driven at 50 km/hr the rate of gas consumption is 1/3 less. How much longer (in km      Log On

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Question 985726: One tank of gas will take a car 400 km if the car is driving at 100 km/hr. However if the car is driven
at 50 km/hr the rate of gas consumption is 1/3 less. How much longer (in km) will a car be able to
drive on one tank of gas, at 50 km/hr rather than at 100 km/hr?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One tank of gas will take a car 400 km if the car is driving at 100 km/hr.
However if the car is driven at 50 km/hr the rate of gas consumption is 1/3 less.
How much longer (in km) will a car be able to drive on one tank of gas, at 50 km/hr rather than at 100 km/hr?
:
This would be easier to handle if we gave the gas tank a value of 20 gallons
Then the mpg would be: 400/20 = 20 kpg
In terms of consumption the is 1/20 or .05 gal per km
A consumption of 1/3 less would be 2/3 * .05 = .0333 gal per km
Find how many miles to empty the tank at this consumption, 20/.0333 = 600 km
therefore
600 - 400 = 200 km further at 50 km/hr