A passenger, while boarding the plane, slipped from the stairs and got hurt. The pilot took the passenger in the emergency clinic at the airport for treatment. Due to this, the plane got delayed by half an hour. To reach the destination 1500 km away in time, so that the passengers could catch the connecting flight, the speed of the plane was increased by 250 km/hour than the usual speed. Find the usual speed of the plane.

What value is depicted in this question? (CBSE 2016)

Let us assume the speed of the palne be x km/hr

∴ Increased speed of the plane = (x + 250) km/hr

It is given in the question that,

Total Distance = 1,500 km

We know that,

∴ According to the question,

_x² + 250x – 750000 = 0

_x² + 1000x – 750x – 750000 = 0

_{(x + 1000) (x – 750) = 0}

∴ x + 1000 = 0

x = - 1000

Or x – 750 = 0

x = 750

_{As the speed of the plane can never be negative therefore speed of the plane will be 750 km/hr}

Value: By giving utmost importance to the health and well-being of the passenger the pilot displays the value of compassion. By making up for the time lost due to this delay he displays concern for the passengers’ time and money and shows dedication towards his airline and job.