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 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?

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.posted by Steve

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 partposted by samay
Respond to this Question
Similar Questions

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 
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 
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. Please help me 
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. 
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. 
math
19. 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. (3 points) can you help me Ms.Sue 
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 
MATH, ALGEBRA
cAN SOMEONE JUST SHOW ME HOW TO GET THE EQUATION IN ORDER TO SOLVE IT MYSELF. i'LL APPRECIATED. bUSINESS AND FINANCE. The Randolphs used 12 more gal of fuel oil in October than in September and twice as much oil in November as in 
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)? answer: rate of change of fuel consumption as miles go up 2) What are its 
algebra
the number of gallons of water,y,after x hours maybe modeled by the linear equation y=80050x. 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