Question

an aeroplanewas flying at an height1800m. if it descends 60 m per minute how long does it take to descend 300m

Answer 1

Answer:

25 minutes

Step-by-step explanation:

The time taken by aeroplane to descend at a height of 300 M = 25 minutes

The height at which the aeroplane is flying = 1800 M

The rate at which the aeroplane is descending = 60 M

The Height function of aeroplane at any instant of time is given by

H(t) = 1800 - 60·t

Now, we need to calculate the time taken by aeroplane to descend at a height of 300 M

So, putting H(t) = 300 in the height function. We get ,

300 = 1800 - 60·t

⇒ 300 - 1800 = -60·t

⇒ -1500 = -60·t

⇒ 60·t = 1500

⇒ t = 25M

Hence, The time taken by aeroplane to descend at a height of 300 M = 25 minutes

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Answer 2

Answer:

Case 1- 5 min         Case 2- 25 min

Step-by-step explanation:

Speed= 60m/min      

Case 1- The plane needs to descend 300 m

  Time taken= Distance/Speed

                     = 300/60

                     = 5min

Case 2- The plane needs to descend to a height of 300 m

   Time taken=Distance/Speed

                      = 1800-300/60

                      = 1500/60

                      = 25 min