Algebra
posted by Heidi .
A singleengine airplane carries enough fuel for an 8hour flight. After the airplane has been flying for 1 h, the fuel tank begins to leak at a rate that would empty the tank in 12 h. How long after the leak begins does the plane have until it runs out of fuel?

Algebra 
MathMate
The rest of the fuel can last 7 hours in flight, and will leak in 12 hours.
So each hour, the plane uses 1/7th of what's left, and leaks 1/12th of what's left, for a total of 19/84th of what's left.
It will therefore last 84/19 hours.
Respond to this Question
Similar Questions

math
A tank, with a rectangular base and having vertical sides of height 4 m, is initially full of water. The water leaks out of a small hole in the horizontal base of the tank at a rate which, at any instant, is proportional to the square … 
Algebra
A singleengine airplane carries enough fuel for an 8hour flight. After the airplane has been flying for 1 h, the fuel tank begins to leak at a rate that would empty the tank in 12 h. How long after the leak begins does the plane … 
Calculus
Fuel is flowing into a storage tank which can be filled to a depth of 6 metres. When the fuel started flowing the tank was already filled to a depth of 2.5m. If the rate at which the depth of fuel in the tank is increasing, in metres … 
Calculus
Fuel is flowing into a storage tank which can be filled to a depth of 6 metres. When the fuel started flowing the tank was already filled to a depth of 2.5m. If the rate at which the depth of fuel in the tank is increasing, in metres … 
algebra
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.2. With 52 gallons of fuel in its tank, the airplane … 
math
Keo's model airplane uses 0.03L of fuel each minute it flies. If the fuel tank holds 0.5L,how long can the plane fly without refueling? 
Algebra
1.A motorcycle has a reserved fuel of 0.5 liter which can be used if it's 3liter fuel tank is about to be emptied. The motorcycle consumes at most 0.5 liter fuel for every 20 km of travel. a. What mathematical statement represents … 
maths
.A leak in the bottom of a tank can empty the full tank in 4hours.An inlet pipe fills water at the rate of 5lit a minute.When the tank is full, the inlet is opened and due to the leak,the tank is empty in 6 hours. How many litres does … 
MISSION
A satellite launch rocket has a cylindrical fuel tank. The fuel tank can hold V cubic meters of fuel. If the tank measures d meters across, what is the height of the tank in meters? 
algebra 1
The Olivares family forgot to fill up the gasoline tank of their minivan at the beginning of a long trip. After driving 120 miles, there were 10 gallons remaining in the tank. If their car used fuel at the rate of 1 gallon every 20 …