Math, asked by tambeaditya18oz8kud, 1 year ago


If the speed of an aeroplane is decreased by 120 km/h, it takes 18 minutes more
to travel some distance. If the speed is increased by 180 km/h, it takes 18 minutes
less to travel the same distance. Find the average speed of the aeroplane and the
distance​

Answers

Answered by shubhamacharjee
26

Answer:

Required formula:

Average Speed =

Let the average speed of the aeroplane be denoted by “x” km/hr and the distance travelled by it be denoted by “y” km/hr.

Step 1:

According to the first condition given in the question and based on the above formula, we can write the eq. as,

⇒  …… (i)

According to the second condition given in the question and based on the above formula, we can write the eq. as,

⇒  …… (ii)

Step 2:

On dividing the eq. (i) by (ii), we get

⇒ 120 (x+180) = 180 (x-120)

⇒ 2x + 360 = 3x - 360  

⇒ x = 720 km/hr

Step 3:

Substituting the value of x = 720 km/hr in eq. (i), we get

⇒  

⇒ y =

⇒ y = 1080 km

Thus, the average speed of the car is 720 km/hr and the distance travelled by it is 1080 km.

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Answered by Anonymous
95

Answer:

720 km/hr and 1080 km

Step-by-step explanation:

Let its average speed = x km/hr and distance = y km.

We have two conditions here.

Condition 1 :

If the speed of an aeroplane is decreased by 120 km/h, it takes 18 minutes more  to travel some distance.

=> (y/x - 120) - y/x = 18/60

=>  y * [1/(x - 120) - 1/x] = 18/60

Condition 2 :

If the speed is increased by 180 km/h, it takes 18 minutes  less to travel the same distance.

=> (y/x) - (y/x + 180) ] = 18/60

=> y * [1/x - 1/x + 180] = 18/60

Solve 1 and 2 conditions, we will get

=> (1/x - 120) - 1/x = 1/x - 1/x + 180

=> 120(x + 180) = 180(x - 120)

=> x = 720 km/hr

Place x in condition (1).

=> y * (1/(720 - 120) - 1/720] = 18/60

=> y[1/600 - 1/720] = 18/60

=> y = 1080 km

Hence,

Average Speed = 720 km/hr and Distance = 1080 km.

#Hope my answer helped you!  

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