Question

A plane left 30 minutes late then it's scheduled time and in order to teach the distinction 1500 km away in time it had to increase its speed by 100 km per hour from the usual speed. Fine the usual speed?

Answer 1

Here it is

steps are given in the attachement

hope it helps u

have a nyc day

Answer 2

solution for this question
let the usual time taken by the aeroplane is x km

distance to the destination is 1500 km

case 1

Speed = Distance / Time = (1500 / x) Hrs
Case (ii)

Time taken by the aeroplane = (x - 1/2) Hrs

Distance to the destination = 1500 km

Speed = Distance / Time = 1500 / (x - 1/2) Hrs

increased speed =250 km/hr

[1500 / (x - 1/2)] - [1500 / x] = 250
⇒ 1/(2x2 - x) = 1/6
⇒ 2x2 - x = 6
⇒ (x - 2)(2x + 3) = 0
⇒ x = 2 or -3/2

Since, the time can not be negative,

The usual time taken by the aeroplane = 2 hrs
and the usual speed = (1500/2= 750 km/hr..