Question

⭐An aeroplane takes 40 minutes less to fly 3,600 km with the wind blowing at 30 km/h than the time it takes to fly against the same wind. Find the actual speed of the aeroplane when there is no wind. ⭐

CLASS 10 CHAPTER:QUADRATIC EQUATIONS

❌NO SPAM ❌

BEST ANSWER WILL BE MARKED AS BRAINLIEST!

Answer 1

ʜᴇyᴀ ᴅᴇᴀʀ!!!
______________

ʟᴇᴛ ᴛʜᴇ ᴀᴄᴛᴜᴀʟ ꜱᴩᴇᴇᴅ = x

ᴡɪɴᴅ ꜱᴩᴇᴇᴅ=30 ᴋᴍ/ʜ

.ɢɪᴠᴇɴ,

3600/x+30 +2/3=3600/x-30.

(10800+60+2x)/3(30+x)=3600/(x-30)

10800+2x/90+x= 3600/x-30

x^2=324900
x=570


#ʙᴇ ʙʀᴀɪɴʟy

Answer 2

Let the actual speed of the Aeroplane when there is no wind be 'x'

Given that Speed of the wind = 30 km/hr.

Given Distance = 3600 km.

We know that Time = Distance/Speed

⇒ (3600/x - 30) - (3600/x + 30) = 40/60

⇒ (3600/x - 30) - (3600/x + 30) = 2/3

⇒ 10800(x + 30) - 10800(x - 30) = 2(x - 30)(x + 30)

⇒ 10800x + 324000 - 10800x - 324000 = 2x^2 - 1800

⇒ 648000 = 2x^2

⇒ x^2 = 324900

⇒ x = √324900

⇒ x = 570.

Therefore, Speed of the Aeroplane when there is no wind = 570 km/hr.

Hope this helps!