Question

an aeroplane covers a distance of 1500 km in a certain time at a certain speed. after increasing its speed by 100 km/hr it covers the same distance in a time which is half n hour less than the previous time. find the previous speed of the areoplane​

Answer 1

Here is your answer bro hope it will help you

Answer 2

Answer:

Speed of the aeroplane = 500 km/hr.

Step-by-step explanation:

In the question,

Let, the speed of the Aeroplane = x km/hr

Distance covered by the aeroplane = 1500 km

So, Time taken by the Aeroplane is,

$Time, t=\frac{Distance}{Speed} =\frac{1500}{x}$

Now,

Increase in the speed = 100 km/hr.

New speed, S' = (x + 100) km/hr.

Time taken now is half an hour less.

So,

New time, t' = $\frac{1500}{x} -\frac{1}{2}$

Also,

New time, t' is,

$=\frac{1500}{100+x} \\So,\\\frac{1500}{100+x}=\frac{1500}{x} -\frac{1}{2}=\frac{3000-x}{2x} \\3000x=300000+3000x-100x-x^{2}\\x^{2}+100x-300000=0$

So,

x = 500

Therefore, the speed of the aeroplane is 500 km/hr.