# Algebra

posted by School123

An unmanned aerial vehicle (UAV) carries 45 gallons of fuel. It burns fuel at a rate of 3 gph (gallons/hour) and flies at a speed of 160 mph (miles/hour). We want to fly it to a location X, fly around the area for 1 hour, and then fly it back to the launching point. What is the greatest number of miles away from the UAV’s launching point can location X be?

How far away can location X be if we want the UAV to arrive back home with a fuel reserve of 0.5 hour?

1. Steve

after t hours, you have gone 160t miles
and you have burned 3t gallons of fuel

So, you are burning fuel at the rate of 160/3 miles/gal

You have 45 gallons of fuel, but you wast 3 gals flying about, so you have a range of

160/3 * 42 = 2240 miles

Thus, you can't go more than 1120 miles away and make it back.

2. samay

How far away can location X be if we want the UAV to arrive back home with a fuel reserve of 0.5 hour?

whats the second part

## Similar Questions

1. ### Math

A small truck is to be driven 300 miles on a freeway at a constant speed of x miles per hour. Speed laws on the freeway require that a truck must be driven between 30 miles per hour and 70 miles per hour. assume that fuel cost \$3.50 …
2. ### math

Your Porsche's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles per hour. It is found that M'(x) = 3,600x−2 − 1 (3,600x−1 + x)2 . Estimate M'(10), M'(60), and M'(110). (Round your …
3. ### algebra

the number of gallons of water,y,after x hours maybe modeled by the linear equation y=800-50x. Which of the following statements is true, a.it is filling at a rate of 800 gallons per hour/b.it is filling at a rate of 50 gallons per …
4. ### algebra

The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true?
5. ### algebra

The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true?
6. ### Math

A prototype rocket burns 159 gallons of liquid hydrogen fuel each sound during a regular launch. Make a table that shows how many gallons of fuel are burned after 2,3,5, and 10 seconds.
7. ### math

A prototype rocket burns 159 gallons of liquid hydrogen fuel each second during a regular launch. Make a table that shows how many gallons of fuel are burned after 2,3,5, and 10 seconds.
8. ### Calculus

The fuel consumption (gallons per hour) of a car traveling at a speed of v miles per hour is c = f(v). 1) What is the meaning of the derivative f ' (v)?
9. ### Algebra

An unmanned aerial vehicle (UAV) carries 45 gallons of fuel. It burns fuel at a rate of 3 gph (gallons/hour) and flies at a speed of 160 mph (miles/hour). We want to fly it to a location X, fly around the area for 1 hour, and then …
10. ### Math

An unmanned aerial vehicle (UAV) carries 45 gallons of fuel. It burns fuel at a rate of 3 gph (gallons/hour) and flies at a speed of 160 mph (miles/hour). We want to fly it to a location X, fly around the area for 1 hour, and then …

More Similar Questions