Question

A plane departs 30 minutes later than its scheduled time, and in order to reach the destination 1500 km away on time, it has to increase its speed by 100 km/h from its usual speed. Determine the plane's usual speed. Provide a solution.

Answer 1

To determine the plane's usual speed, set up a system of equations using time, distance, and speed. Solve the system of equations to find the value of the plane's usual speed.

Step-by-step explanation:

To determine the plane's usual speed, we can set up an equation using the information provided. Let's assume the plane's usual speed is 'x' km/h. The time it takes for the plane to travel 1500 km at its usual speed is given by:

T = d / v

T = 1500 km / x km/h

If the plane departs 30 minutes later, it needs to cover the same distance in (T + 0.5) hours. We can set up another equation:

T + 0.5 = 1500 km / (x + 100) km/h

Solving these two equations using substitution or elimination, we can find the value of 'x'. This will give us the plane's usual speed.