5. After visiting my Great Aunt Annie, I travelled home in her old jalopy. The car was old and battered, it
had a leak from the petrol tank, and I was stuck in second gear. This meant that I could only travel along
at a steady 30 miles per hour and managed a paltry 20 miles per gallon of fuel. At the start of the journey I
had placed exactly 10 gallons of fuel into the tank. I knew though, that the fuel tank lost fuel at the rate of
half a gallon per hour. Just as I arrived home, the car stopped because it had run out of fuel and I had only
just made it. How far it was from my Great Aunt's to my home?
Answers
Answer:
150 miles
Step-by-step explanation:
Speed of Car = 30 miles / hr
Fuel Economy = 20 miles / gallon
Fuel at start = 10 Gallon
Fuel Leakage = 1/2 gallon / hr
Let say after T hr he reached
Fuel Leaked = T/2 Gallon
Fuel Used = 10 - T/2 Gallon
Distance covered by (10 - T/2 ) Gallons = 20 * (10 - T/2) = 200 - 10T Miles
Distance covered in T hrs = 30T Miles
200 - 10T = 30T
=> 40T = 200
=> T = 5
in 5 Hrs he reached home.
Distance covered in 5 Hrs = 30 * 5 = 150 Miles
it was 150 Miles from his Great Aunt's to his home
Answer:
150 miles
Step-by-step explanation:
I was travelling at 30mph at a rate of 20mpg, so I was using 1.5 gallons every hour for the driving itself.
I was also losing 0.5 gallon every hour. In total, I was using 2 gallons every hour.
Therefore to use all of the 10 gallons I started with, I travelled for 5 hours.
5 hours at 30mph is 150 miles.
Hope this helps