Can you do this?

missmarple
missmarple Posts: 1,980
edited January 2010 in The Crudcatcher
I'm having a brainfart this morning so bare with me:

If an aircraft is flying at 3000ft and wants to descend to 2000ft at a rate of 350ft per minute, how many minutes will this take?

Obviously it will be 2 minutes something.....

But how would you go about working it out?

Comments

  • dunnnooo
    dunnnooo Posts: 900
    edited January 2010
    (350/60) x 300 = ?

    Oops- other way round- (60/350) x 300
    I'd give my right hand to be ambi-dextrous
  • pdid
    pdid Posts: 1,065
    350 divide 60 = 5.833333333 = ft per second
    300 divide 5.8333333333 = 51.42857

    So takes 2mins 51.42857 secs :D
  • missmarple
    missmarple Posts: 1,980
    Hmm is that correct? For time = distance/speed....?

    So 350ft / 60 = 5.83 per second....

    300ft / 5.83 = 51 seconds + 2 mins.....

    Everyone else get the same answer sans calculator?
  • whyamihere
    whyamihere Posts: 7,719
    I'd demand SI units first.

    Feet and minutes indeed...
  • MacAndCheese
    MacAndCheese Posts: 1,944
    total decent = 1000ft

    1000/350 = 2.8 minutes

    0.8 of a minute = 0.8x60seconds = 48 seconds

    so it's 2min 48 seconds....i think....
    Santa Cruz Chameleon
    Orange Alpine 160
  • bails87
    bails87 Posts: 12,998
    total decent = 1000ft

    1000/350 = 2.8 minutes

    0.8 of a minute = 0.8x60seconds = 48 seconds

    so it's 2min 48 seconds....i think....

    This.

    I don't know where the 350/60 and 300's are coming from.
    MTB/CX

    "As I said last time, it won't happen again."
  • missmarple
    missmarple Posts: 1,980
    bails87 wrote:
    total decent = 1000ft

    1000/350 = 2.8 minutes

    0.8 of a minute = 0.8x60seconds = 48 seconds

    so it's 2min 48 seconds....i think....

    This.

    I don't know where the 350/60 and 300's are coming from.


    This is the other one I came up with; looks to be a bit more orderly!

    Cheers for that. 8)
  • supersonic
    supersonic Posts: 82,708
    total decent = 1000ft

    1000/350 = 2.8 minutes

    0.8 of a minute = 0.8x60seconds = 48 seconds

    so it's 2min 48 seconds....i think....

    1000/350 is not 2.8: it is 2.857.

    Enter that and you get the same as the 1st poster ;-)

    The answer to the nearest second is 171 seconds, or 2 mins 51s.
  • 3000ft starting.

    after 1 minute you will have descended 350ft so will be at 2650ft
    after 2 minutes you will have descended 700ft (350 + 350) so will now be at 2300ft.

    You therefore have a further 300 ft to descend down to your target of 2000ft.

    in 60 seconds (1 minute) you will drop another 350ft which is too far.

    350/60 will give you your descent per second rate = 5.83 ft per second.

    You need to drop 300ft so 300/5.83 will give you the number of seconds required to drop 300ft.
    = 51.5 seconds.

    Plus your 2 minutes!

    Alternatively, we know that you drop 5.83 feet per second, and the total drop is 1000ft

    1000/5.83 = 171.5 seconds which is 2mins 51.5 seconds.
  • missmarple
    missmarple Posts: 1,980
    Surely both are semi-correct? As SS pointed out. I've got this assessment on Tuesday which involves numeracy, 25 questions in 12 minutes so calculator not allowed nor a viable option.

    My potential answers are 48, 51 and 52. Taking decimals into account. And this is a multiple choice test - sod's law they'll have those 3 and another obscure one like 3 minutes.

    I'd go with 48 seconds.

    For example, if you travel 84 miles in 14 minutes, what is your MPH?

    60/14 = 4.3 roughly therefore 4.3 * 84 = 361. 2 roughly, again without calculator.

    Everyone in agreement?
  • supersonic
    supersonic Posts: 82,708
    48 seconds is not even within a second of the absolute answer, which is as in the first post is 2mins 51.42857 (to 5 decimal places).

    Round that to the nearest second and it is 2 mins 51 seconds.

    You have to decide how accurate you want to be, and how to round it.
  • 2 min 51.4 seconds - you can do it in your head!

    1000ft to descend, 350ft/min

    Take the 0s off to make things easier = 100ft, 35ft/min

    You want to do 100/35. 35 goes in to 100 twice (35*2 = 70) with a remainder (30), so there is your two minutes.

    Now you 've got to do 30/35 to see how long the remainder takes. 30/35 = 6/7. 1/7 is approx 0.143, multiplied by 6 = 0.857.

    The remainder is still in minutes, mind, so multiply by 60 to get it into seconds = 0.857*60 = 51.4.

    Time taken = 2 minutes 51.4 seconds.
  • forcutty
    forcutty Posts: 1,055
    128778588252902689.jpg
  • MacAndCheese
    MacAndCheese Posts: 1,944
    supersonic wrote:
    total decent = 1000ft

    1000/350 = 2.8 minutes

    0.8 of a minute = 0.8x60seconds = 48 seconds

    so it's 2min 48 seconds....i think....

    1000/350 is not 2.8: it is 2.857.

    Enter that and you get the same as the 1st poster ;-)

    The answer to the nearest second is 171 seconds, or 2 mins 51s.

    He said sans calculator....thats the best I could do in my head!
    Santa Cruz Chameleon
    Orange Alpine 160
  • missmarple
    missmarple Posts: 1,980
    So if going at 270fpm the answer would not be 3 mins and 42 seconds?

    But:

    27/6 = 4.5

    So: 190/4.5 = 42 seconds

    Therefore 3 mins and 42 seconds.
  • supersonic
    supersonic Posts: 82,708
    270 fpm:

    1000/270 = 3.703 minutes.

    0.703 of a minute is 60x0.703 seconds = 42.18 seconds.

    So 3 mins 42 secs rounded.

    So yep, you are correct! Often more than one way of doing it, the key is to be careful with decimal places. Use lots when calculating, then round at the end.
  • missmarple
    missmarple Posts: 1,980
    Ahh proper bo! Now I can do jack shit for the rest of the day knowing full well that I have fulfilled my maths problem. :D

    Thank you for all your help chaps!

    What about if it took 3 mins 42 seconds to descend 1000ft; what was your fpm?

    3 mins 42 = 600/162 = 3.7

    1000/3.7 = 270fpm

    Sorted! :D
  • stevet1992
    stevet1992 Posts: 1,502
    Depends ... If the wings where to suddenly fall off whilst said plane was descending, it would fall a lot quicker :twisted:
    On-One 456 Sainsburys Season

    Calling All SouthEastern Riders
  • It's a trick question, I wouldn't be on the aeroplane in the first place.

    Sorry
  • projectsome
    projectsome Posts: 4,010
    forcutty wrote:
    128778588252902689.jpg

    +1
    FARKBOOK TWATTER Happiness is my fucking mood!
  • stomith
    stomith Posts: 332
    Is it a laden aircraft or unladen?
  • You're not an air traffic controller are you?
  • ramemtbers
    ramemtbers Posts: 1,562
    Good luck for tommorow....... :wink: