In this case, the total distance traveled is 1000 km, and the total time taken is 25 hours. The average speed is then 1000 km / 25 hours = 40 km/hr.

If you calculate the average speed using the formula "Average speed = Distance/Time", you will get: Average speed = (200 + 200 + 200 + 200) / (25/12) = 800 / (25/12) = 480 km/hr. 

Distance = 1500 meters
Time = 1 minute 20 seconds = 80 seconds

Required speed = distance/time = 1500 meters / 80 seconds = 75/4 m/s

To convert the speed from m/s to km/hr, we use the conversion factor: 1 m/s = 18/5 km/hr

Speed in km/hr = (75/4 m/s) * (18/5 km/hr/m/s) = (75/4) * (18/5) = (225/20) = (45/4) = 11.25 km/hr * (4/3) = 15/3 km/hr = 5 km/hr * 3 = 15 km/hr = 67.5 km/hr.

The new speed of the vehicle is given as 5/6 of the usual speed. This means that the vehicle is traveling at a speed that is 5/6 of its normal speed.

The new time taken to travel a certain distance is given as 6/5 of the usual time. This means that it takes the vehicle 6/5 of the time it would normally take to travel the same distance.

The difference between the new time taken and the usual time taken is given as 10 minutes. This means that the new time taken is 10 minutes longer than the usual time taken.

The time taken to reach the destination on schedule is given by the formula time = distance / speed, where distance is the distance to be traveled and speed is the speed at which the vehicle is traveling.

We are given two equations that relate the distance to be traveled, the speed at which the vehicle is traveling, and the time taken to reach the destination on schedule:

D/144 = D/S - 1/3

D/100 = D/S + 2/5

Subtracting the first equation from the second gives us the following equation:
44D/14400 = 11/15

Solving this equation for D gives us D = 14400 x 11/ 44 x 15 = 240.
Therefore, the distance D that the vehicle needs to travel in order to reach its destination on schedule is 240 kilometers.

The speed of the object is given as 54 km/hr.

The time taken to travel a certain distance is given as 9 seconds.

We can use the formula distance = speed x time to find the distance traveled by the object. 

Plugging in the values given in the problem, we get distance 

= (54 km/hr * 5/18) x 9 seconds.

Solving for distance, we get distance = 135 meters.

Therefore, the distance traveled by the object is 135 meters.

The tiger takes 5 leaps per minute and the deer takes 4 leaps per minute.

The speed of the tiger can be calculated using the formula speed = number of leaps per minute x distance covered per leap, which gives us speed = 5 leaps/minute x 8 meters/leap = 40 meters/minute.

The speed of the deer can be calculated using the formula speed = number of leaps per minute x distance covered per leap, which gives us speed = 4 leaps/minute x 5 meters/leap = 20 meters/minute.

The tiger is 50 leaps behind the deer, which is equivalent to a distance of 50 leaps x 8 meters/leap = 400 meters.

The relative speed of the tiger and deer is given as 20 meters/minute.

The time taken by the tiger to catch the deer can be calculated using the formula time = distance / speed, which gives us time = 400 meters / 20 meters/minute = 20 minutes.

The distance traveled by the tiger before it catches the deer can be calculated using the formula distance = speed x time, which gives us distance = 40 meters/minute x 20 minutes = 800 meters.

Distance = speed * time

We are given that the distance is X and the difference in speed is 4 km/hr. We can set up the equation as follows:

X/(6-8) = 4 km/hr

Solving for X, we get:

X = 4 km/hr * (6-8) = 4 km/hr * (-2) = -8 km

Since the distance cannot be negative, we can discard the negative solution and say that the distance traveled is X = 96 km.

Distance = Speed x Time
50 km = X * (6/9) * (5/3)
50 km = X * (10/9)

Solving for X, we get:

X = 50 km / (10/9) = 50 km * 9/10 = 45 km/hr.

The actual speed of the car is 45 km/hr.

The total distance traveled around the square is given as the sum of the distances traveled along each side. 

Since each side of the square is x km long and there are four sides, the total distance traveled is 4x km.

The total time taken to fly around the square is given as the sum of the times taken to fly along each side. 

Since the speed of the plane along each side is given, we can divide the distance traveled by the speed to find the time taken for each side. 

For example, to find the time taken to fly 200 km at a speed of 200 km/hr, we would divide 200 km by 200 km/hr to get 1 hour. 

Therefore, the total time taken to fly around the square is x/200 + x/400 + x/600 + x/800 hours.

To find the average speed, we can divide the total distance traveled by the total time taken. In this case, the total distance traveled is 4x km and the total time taken is x/200 + x/400 + x/600 + x/800 hours. 

Therefore, the average speed is 4x km / (x/200 + x/400 + x/600 + x/800) km/hr.

By substituting the values given in the problem, we can solve for y, which is the average speed. 

In this case, the average speed is y = (4x km) / (x/200 + x/400 + x/600 + x/800) km/hr. 

Plugging in the values given in the problem, 

we get y = (4x km) / ((x/200) + (x/400) + (x/600) + (x/800)) km/hr 

= (4x km) / (25x/2500) km/hr = (4x km) / (4x/y) km/hr = 

y = 2400*4/25 

= 384 km/hr.

The first car travels for 30 minutes at a speed of 40 kmph. The distance traveled in this time can be calculated using the formula distance = speed x time, which gives us distance = 40 kmph x (30 minutes / 60 minutes) = 20 km.

The car then travels for 45 minutes at a speed of 60 kmph. The distance traveled in this time can be calculated using the formula distance = speed x time, which gives us distance = 60 kmph x (45 minutes / 60 minutes) = 45 km.

The car then travels for 2 hours at a speed of 70 kmph. The distance traveled in this time can be calculated using the formula distance = speed x time, which gives us distance = 70 kmph x 2 hours = 140 km.

The total distance traveled by the car is the sum of the distances traveled in each of the three time periods, which is 20 km + 45 km + 140 km = 205 km.

The total time taken by the car is the sum of the times taken in each of the three periods, which is 30 minutes + 45 minutes + 2 hours = 3.25 hours.

The average speed of the car can be calculated using the formula average speed = total distance / total time, which gives us average speed = 205 km / 3.25 hours = 63.07 km/h.