Posted by **Heidi** on Tuesday, November 2, 2010 at 4:14pm.

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 -
**MathMate**, Tuesday, November 2, 2010 at 6:08pm
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.

## Answer this Question

## Related Questions

- Algebra - A single-engine airplane carries enough fuel for an 8-hour flight. ...
- algebra - Suppose that the weight (in pounds) of an airplane is a linear ...
- Calculus - Fuel is flowing into a storage tank which can be filled to a depth of...
- Calculus - Fuel is flowing into a storage tank which can be filled to a depth of...
- geometry - A satellite launch rocket has a cylindrical fuel tank. The fuel tank ...
- Math - A satellite launch rocket has a cylindrical fuel tank. The fuel tank can ...
- math - Keo's model airplane uses 0.03L of fuel each minute it flies. If the fuel...
- math - A tank, with a rectangular base and having vertical sides of height 4 m, ...
- Physics - Two planes are about to drop an empty fuel tank. At the moment of ...
- physics - An airplane of mass 1.6 x 10^4 kg is moving at 58 m/s. The pilot then ...