Question 3 You're out of gas! You need to fill up the gas tank of your friend's sports car before you return it tomorrow. Only premium gas will suffice. The gas station beside your home is selling premium fuel for $1.90 per litre. On Google maps you see that there is a gas station 60 km away that is selling premium for $1.60 per litre. At the moment you need to buy 60 litres of gas to fill up the tank. Assume that you still have enough fuel to drive 60 km. The average fuel consumption of the car is 10 litres per 100 km. (Note: your friend wants the car back with a full tank, so if you drive to the further station to take advantage of the lower price, you will need to replace the amount of gas that you used on the drive back at the local station.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 3 You're out of gas! You need to fill up the gas tank of your
friend's sports car before you return it tomorrow. Only premium gas will
suffice. The gas station beside your home is selling premium fuel for $1.90
per litre. On Google maps you see that there is a gas station 60 km away
that is selling premium for $1.60 per litre. At the moment you need to buy
60 litres of gas to fill up the tank. Assume that you still have enough fuel to
drive 60 km. The average fuel consumption of the car is 10 litres per 100
km. (Note: your friend wants the car back with a full tank, so if you drive to
the further station to take advantage of the lower price, you will need to
replace the amount of gas that you used on the drive back at the local
station.)
Transcribed Image Text:Question 3 You're out of gas! You need to fill up the gas tank of your friend's sports car before you return it tomorrow. Only premium gas will suffice. The gas station beside your home is selling premium fuel for $1.90 per litre. On Google maps you see that there is a gas station 60 km away that is selling premium for $1.60 per litre. At the moment you need to buy 60 litres of gas to fill up the tank. Assume that you still have enough fuel to drive 60 km. The average fuel consumption of the car is 10 litres per 100 km. (Note: your friend wants the car back with a full tank, so if you drive to the further station to take advantage of the lower price, you will need to replace the amount of gas that you used on the drive back at the local station.)
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