Flying around for an hour means we waste 3 gal, making our useful fuel only 42 gallons
Only half of that can be used to fly out, or 21 gals
at 3 gal/hr, that makes a maximum flight time of 7 hours
So, at 160mi/hr, that gives a maximum range of 1120 miles
For the reserve fuel, repeat those steps after subtracting 0.5 gal from the available fuel.
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?
all i need is the second part
2 answers
3gal/h * (1+ 0.5)h = 4.5 gal reserved.
T = (45-4.5)/3 = 13.5 h = max. driving time to and from X.
1/2 of T is used to drive X miles.
X = r * T/2 = 160 * 13.5/2 = 1080 mi.
T = (45-4.5)/3 = 13.5 h = max. driving time to and from X.
1/2 of T is used to drive X miles.
X = r * T/2 = 160 * 13.5/2 = 1080 mi.