SOLUTION: i need help please How many hours will it take a small plane going 270mph to over take another plane going 220mph if the slower plane has a head star of 1/2 hour? please hel

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Question 186891: i need help please
How many hours will it take a small plane going 270mph to over take
another plane going 220mph if the slower plane has a head star of 1/2 hour?
please help
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let's see how far P%5B1%5D travelled in that %281%2F2%29hr:
*Remembersystem%28Speed=Distance%2Ftime%29--->D%5B1%5D=S%2At
D%5B1%5D=220%2A0.50=110miles
The Distance is constant since both on the same directions: D%5B1%5D=D%5B2%5D
*And DON'T FORGET to add 110 miles to P%5B1%5D since it has head start.
D%5B1%5D%2B110=D%5B2%5D
S%5B1%5D%2At%2B110=S%5B2%5D%2At
220%2At%2B110=270%2At
270t-220t=110---->50t=110--->cross%2850%29t%2Fcross%285%29=cross%28110%292.2%2Fcross%2850%29
highlight%28t=2.2hrs%29 *Exactly at this time of travelling, D%5B1%5D=D%5B2%5D
Let's check:
D%5B1%5D=220%2A2.2%2B110=484%2B110=594miles
D%5B2%5D=270%2A2.2=594miles
Therefore, AFTER 2.2 hrs, Plane 2 will overtake Plane 1,it's faster with Speed of 270mph.
Thank you,
Jojo