# FREE Air Traffic Controller: Math Question and Answers

#### What is the average speed in MPH for a 9-hour flight covering 1800 miles?

Explanation:

To calculate the average speed of the aircraft, we can use the formula:

Average Speed = Distance / Time

Plugging in the given values, we get:

Average Speed = 1800 miles / 9 hours

Dividing, we get:

Average Speed = 200 miles per hour

Therefore, the average speed of the aircraft is 200 miles per hour.

#### Milwaukee is 350 miles away from Minneapolis. In order to complete this flight in less than three hours, what speed must N2540G maintain?

Explanation:

To calculate the required speed that N2540G must maintain to fly the route from Minneapolis to Milwaukee in under three hours, we can use the following formula:

Speed = Distance / Time

Plugging in the given values, we get:

Speed = 350 miles / 3 hours

Dividing, we get:

Speed = 116.67 miles per hour

Therefore, N2540G will have to maintain a speed of approximately 116.67 miles per hour to fly the route from Minneapolis to Milwaukee in under three hours.

#### How many miles apart are New York City and Cleveland if it takes N74985 (280 MPH) one hour and thirty minutes to fly between them?

Explanation:

To calculate the distance between New York City and Cleveland, we can use the formula:

Distance = Speed x Time

First, we need to convert the time from 1 hour and 30 minutes to hours, by dividing 30 minutes by 60 to get 0.5 hours and then adding it to 1 hour to get 1.5 hours.

Plugging in the given values, we get:

Distance = 280 MPH x 1.5 hours

Multiplying, we get:

Distance = 420 miles

Therefore, New York City and Cleveland are approximately 420 miles apart if N74985 takes 1 hour and 30 minutes to fly between these cities at a speed of 280 MPH.

#### In 90 minutes, an aircraft has traveled 375 miles. What is the ground speed of the aircraft?

Explanation:

To calculate the aircraft's ground speed, we can use the formula:

Ground Speed = Distance Traveled / Time Taken

Plugging in the given values, we get:

Ground Speed = 375 miles / 90 minutes

We can simplify this by converting the time to hours, as follows:

Ground Speed = 375 miles / (90 minutes / 60 minutes per hour)

Ground Speed = 375 miles / 1.5 hours

Now we can divide to get the ground speed:

Ground Speed = 250 miles per hour

Therefore, the aircraft's ground speed is 250 miles per hour.

#### How many miles will a plane travel if it flies at 220 mph for four hours?

Explanation:

To calculate the distance covered by the aircraft, we can use the formula:

Distance = Speed x Time

Plugging in the given values, we get:

Distance = 220 MPH x 4 hours

Multiplying, we get:

Distance = 880 miles

Therefore, the aircraft will cover 880 miles if it flies for 4 hours at a speed of 220 MPH.

#### If an aircraft flies at 450 MPH for 2^{1}⁄_{2} hours, how many miles has it covered?

Explanation:

To calculate the distance traveled by aircraft, we can use the formula:

Distance Traveled = Ground Speed x Time Taken

Plugging in the given values, we get:

Distance Traveled = 450 MPH x 2.5 hours

Now we can multiply to get the distance traveled:

Distance Traveled = 1,125 miles

Therefore, the aircraft has traveled 1,125 miles if it flies at 450 MPH for 2^{1}⁄_{2} hours

#### How many miles would a plane travel in 1 hour and 45 minutes at a speed of 200 mph with a 15 mph tailwind?

Explanation:

To calculate the distance flown by a plane with a tailwind, we need to first calculate the ground speed of the plane. The ground speed is the speed at which the plane is actually traveling relative to the ground, taking into account the effect of the tailwind. We can calculate the ground speed using the following formula:

Ground Speed = Air Speed + Tailwind

Plugging in the given values, we get:

Ground Speed = 200 MPH + 15 MPH = 215 MPH

Now that we know the ground speed, we can calculate the distance flown using the following formula:

Distance = Speed x Time

Plugging in the given values, we get:

Distance = 215 MPH x 1.75 hours (1 hour and 45 minutes converted to hours)

Multiplying, we get:

Distance = 376.25 miles

Therefore, the plane would fly approximately 376.25 miles in 1 hour and 45 minutes with a tailwind of 15 MPH while traveling at an airspeed of 200 MPH.