Question

os. An aeroplane is flying 30 min late from its initial
starting time and the speed of aeroplane is increased by
250 km/h to reach the distance of 1500 km. Find the
usual speed of aeroplane.​

Answer 1

Answer:

Let the usual time taken by the aeroplane =x hr.

Distance =1500km

In first case-

speed=

x

1500

km/h ………..(1)

In second case-

time taken by aeroplane=x−

2

1

hr

∴ Speed=

x−

2

1

1500

km/h ………(2)

Increased speed=250 km/h

So,

x−

2

1

1500

−

x

1500

=250

1

1500

×

2x−1

2

−

x

1500

=250

2x−1

3000

−

x

1500

=250

(2x−1)x

3000x−3000x+1500

=250

2x

2

−x

1500

=250

6=2x

2

−x

2x

2

−x=6

2x

2

−x−6=0

2x

2

−4x+3x−6=0

2x(x−2)+3(x−2)=0

(x−2)(2x+3)=0

x=2,x=

2

−3

So time can not be negative

x=2

then speed=

x−

2

1

1500

=

2−

2

1

1500

=1000 km/h.

Answer 2

Answer:

answer is X=750

hope it helped you thank you