Distance/speed/time?
Hi, ive got my ctc coming up, just revising my long division etc etc and just came across a question that i cant get round my head to answer! its as follows:
aircraft a sets off from airport a at 10am and flies towards airport b with a flying speed of 100kts. aircraft b sets off from airport b at 10am and flies towards airport a with a flying speed of 150kts. airports a and b are 300miles apart at what time do the aircraft meet each other? Is this a simple distance/speed/time answer, im sure its easy, but havent done this kind of maths for years! If anyone could give me a helping hand id appreciate it! thanks! :ok: :E |
Bit of high school algebra will do it.
If we assume that t=time in minutes, s=distance in nautical miles. At t=0 (actually 10am), Aircraft A is at distance 0, and aircraft B is at distance 300 (the other airfield). So, position of A is (100/60)*t And position of B is 300 - (150/60)*t When they pass, the position is the same (obviously), so (100/60)*t=300-(150/60)*t Re-arrange that, and you get:- ( (100/60) + (150/60) ) * t = 300 Divide through by ( (100/60) + (150/60) ) and you get t = 300 / ( (100/60) + (150/60) ) Which comes out at 72 minutes by my calculator. So, they'll pass each other at 11:12. And if you want the position, just use aircraft A: (100/60)*72 = 120nm. So they meet 120Nm from airport A. To double check, put aircraft B's equation in: 300 - (150/60)*72 = 120, same answer. G |
They have a combined speed of 250kts.
The distance they are travelling is 300nm time=300/250 simplifies to 6/5 which is 1 1/5 so 1hr and 12mins same answer am i right in going along those lines as you are expected to do the calculation in your head without a calculator. |
Thankyou!
As far as i know, calculators are not allowed, gonna have to use my brain! :8 :ok: :ok: |
does anyone know of what other types of maths questions get asked? some examples would be nice :ok:
|
There's nothing pointless about being able to find the expected crossing time &/or position of a reciprocal aircraft.
|
All times are GMT. The time now is 09:32. |
Copyright © 2024 MH Sub I, LLC dba Internet Brands. All rights reserved. Use of this site indicates your consent to the Terms of Use.