Maths-

General

Easy

Question

# George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight. To the nearest minute, for how many minutes did the plane fly at a speed of 439 miles per hour?

Hint:

**Hint:**

The first thing to know is .The flight’s travel can be divided into two parts: the first one where the speed is 460 miles per hour and the second where the speed is 439 miles per hour. First we

find the distance covered by the flight in first 75 minutes, then we find the remaining distance to be covered and finally the tie required to cover that distance.

## The correct answer is: 90

### The total distance between Los Angeles and Dallas is 1233 miles.

So, total distance covered = 1233 miles.

Initially,

Speed of the plane = 460 miles per hour

Time taken = 75 minutes

We convert the time in hours as the speed is given in miles per hour.

As, 60 minutes = 1 hour

So, we get, 75 minutes = = = 1.25 hours

Thus, time taken = 1.5 hours

We know,

Rewriting the equation , we have

Thus, the distance travelled initially is given by

Thus, the distance covered by the flight in the first 75 minutes while the speed was 460 miles per hour = 575 miles

Next,

Remaining distance to travel = 1233 – 575 = 658 miles

For the second part of the journey,

Speed of the plane = 439 miles per hour

Distance travelled = 658 miles

Rewriting the above formula, we get

Using the above quantities, we get

Converting the time into minutes, we have,

Thus, the number of minutes for which the plane flies at speed 439 miles per hour = 90 minutes

.

**Note:**

The relation between speed, distance and time given by the relation above is very important. There could be many such questions formed which ask us to calculate any of the three quantities with certain conditions involved.

### Related Questions to study

Maths-

### A Cylindrical container 21 m in radius and 72 m high is full of water. The water is emptied into a rectangular tank 63 m long and 24 m wide. Find the height of the water level in the tank?

### A Cylindrical container 21 m in radius and 72 m high is full of water. The water is emptied into a rectangular tank 63 m long and 24 m wide. Find the height of the water level in the tank?

Maths-General

Maths-

### The base of an isosceles triangle is 24 cm and its area is 192 cm^{2} . Find its perimeter

### The base of an isosceles triangle is 24 cm and its area is 192 cm^{2} . Find its perimeter

Maths-General

Maths-

### Write an equation of the line with undefined slope and passing through (5,11).

### Write an equation of the line with undefined slope and passing through (5,11).

Maths-General

Maths-

### Write an equation of the line with zero slope and passing through (3,7).

### Write an equation of the line with zero slope and passing through (3,7).

Maths-General

Maths-

### Write an equation of the line with the slope -1 and y-intercept 10

### Write an equation of the line with the slope -1 and y-intercept 10

Maths-General

Maths-

### A line passes through point (3, 1) and has slope = -2/3. Find its equation.

### A line passes through point (3, 1) and has slope = -2/3. Find its equation.

Maths-General

Maths-

### A metal pipe has internal radius of 2.5 cm, the pipe is 2mm thick all around. Find the weight in kilogram of 2 meters of the pipe if 1 cubic cm of the metal weighs 7.7 gm.

### A metal pipe has internal radius of 2.5 cm, the pipe is 2mm thick all around. Find the weight in kilogram of 2 meters of the pipe if 1 cubic cm of the metal weighs 7.7 gm.

Maths-General

Maths-

### Top of a metallic plate is in the form of a parallelogram. If one of its sides is 8 inches and its altitude is 3 inches. Find the area of the metallic plate

### Top of a metallic plate is in the form of a parallelogram. If one of its sides is 8 inches and its altitude is 3 inches. Find the area of the metallic plate

Maths-General

Maths-

### Find the equation of the given line.

### Find the equation of the given line.

Maths-General

Maths-

### The top view of a swimming pool is in the form of a parallelogram with a base and height of 60 feet and 45 feet respectively. Find the area of a top view of the swimming pool.

### The top view of a swimming pool is in the form of a parallelogram with a base and height of 60 feet and 45 feet respectively. Find the area of a top view of the swimming pool.

Maths-General

Maths-

### Calculate the area of equilateral triangle whose height is 25 cm

### Calculate the area of equilateral triangle whose height is 25 cm

Maths-General

Maths-

### A regular parallelogram ABCD having sides

The angle between the two sides is 30 degrees. Find the area of parallelogram ABCD

### A regular parallelogram ABCD having sides

The angle between the two sides is 30 degrees. Find the area of parallelogram ABCD

Maths-General

Maths-

### Calculate the volume of the metal pipe whose inside diameter is 6 cm and whose outside diameter is 8 cm, if it is 20 cm long.

### Calculate the volume of the metal pipe whose inside diameter is 6 cm and whose outside diameter is 8 cm, if it is 20 cm long.

Maths-General

Maths-

### Find the height of the triangle whose area is 560 cm^{2} and base is 42 cm

### Find the height of the triangle whose area is 560 cm^{2} and base is 42 cm

Maths-General

Maths-

### Find area of triangles

a. Whose height is 5cm and base is 10cm

b. Whose three sides are a = 5 cm, b = 5 cm and c = 8 cm

### Find area of triangles

a. Whose height is 5cm and base is 10cm

b. Whose three sides are a = 5 cm, b = 5 cm and c = 8 cm

Maths-General