While boarding an aero plane, a passenger got hurt. The pilot, showing promptness and concern, made arrangements to hospitalize the injured and so the plane started late by 30 minutes. To reach the destination, 1500 km away, in time, the pilot increased the speed by 100 km/hour. Find the original speed/hour of the plane. Do you appreciate the values shown by the pilot, namely, promptness in providing help to the injured and his efforts to reach in time?
Given, Distance = 1500 km
Let the original speed be x km/h
Time lost in hours = 
⸫ Time = 
According to question,
⇒ 
⇒ 
⇒ 2 (1500x + 150000 – 1500x) = x2 + 100x
⇒ 300000 = x2 + 100x
⇒ x2 + 100x – 300000 = 0
⇒ x2 + 600x – 500x – 300000 = 0
⇒ x (x + 600) – 500 (x + 600) = 0
⇒ (x – 500) (x + 600) = 0
⇒ x – 500 = 0 and x + 600 = 0
⸫ x = 500 and x = -600
⸫ The original speed of the plane = 500 km/h (⸪ Speed cannot be negative)
Yes, I appreciate the values shown by the pilot because not only did he save the life of a passenger but also the time of several other passengers.
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.