Question

A passenger while boarding the plane slip from the stairs and got hurt. The Pilot took the passenger in the emergency Clinic at the airport for the treatment due to this the plane got delayed by half an hour. to reach the destination 1500 kilometre away in time, so that the passengers could catch the connecting flight, the speed of the plane was increased by 250 kilometre per hour then the usual speed. find the usual speed of the plane? what value is depicted in this question?​

Answer 1

IT'S THE ANSWER

❤️HOPE IT HELPS❤️

Answer 2

Solution:

Let the usual speed be 'x' km/h.

So, according to the given condition,

1500/x - 1500/x+250 = 1/2

=> 1500 [ x + 250 - x/ x(x +250)] = 1/2

=> 1500 × 2 × 250 = x^2 + 250x.

=> x^2 + 250x - 750000 = 0

=> x^2 + 1000x - 750x - 750000 = 0

=> x(x + 1000) - 750(x + 1000)

=> (x + 1000)(x - 750) = 0

=> (x + 1000) = 0

or, (x - 750) = 0.

=> x = -1000

or, x = 750

So, usual speed of the plane is 750 km/h; by neglecting -1000.

VALUE : Pilot should be appreciated for his efforts to help the injured and also to reach the destination in time for saving the time of the passenger.