# Algebra

posted by .

A single-engine airplane carries enough fuel for an 8-hour 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 -

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.

## Similar Questions

1. ### 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 …
2. ### Algebra

A single-engine airplane carries enough fuel for an 8-hour 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 …
3. ### 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 …
4. ### 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 …
5. ### 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 …
6. ### 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?
7. ### Algebra

1.A motorcycle has a reserved fuel of 0.5 liter which can be used if it's 3-liter 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 …
8. ### 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 …
9. ### 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?
10. ### 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 …

More Similar Questions