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Choo choo...Meow! #863068
01/19/13 02:39 PM
01/19/13 02:39 PM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
Graduate Boomer
CanukDenis  Offline OP
Graduate Boomer

Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
T>..............[A]........F.............[B]

Train T is approaching tunnel AB.

Inside the tunnel is Felix The Cat located at point 3/8th
of the distance AB measured from the entrance A.

When the train whistles, Felix runs.

If Felix runs West, the train hits Felix exactly at the entrance A.

If Felix runs East, the train hits Felix exactly at the exit B.

If Felix's speed is 10 mph, what is the train's speed?


I'm a man of few words, BUT I use 'em often!!
Re: Choo choo...Meow! [Re: CanukDenis] #863144
01/19/13 10:50 PM
01/19/13 10:50 PM
Joined: Jan 2003
Posts: 5,763
Mojave desert, California
CCbomber Offline
BAAG Specialist
CCbomber  Offline
BAAG Specialist

Joined: Jan 2003
Posts: 5,763
Mojave desert, California
T>..............[A]........F.............[B]

AB = distance from A to B
TA = distance from the train to A
s = speed of the train

10 mph/s = 3AB/8TA = 5AB/8(TA+AB)

From the right equation, TA = (3/2)AB
Substituting into the left equation, s = 40 mph

thanks

Re: Choo choo...Meow! [Re: CanukDenis] #863170
01/20/13 12:56 AM
01/20/13 12:56 AM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
Graduate Boomer
CanukDenis  Offline OP
Graduate Boomer

Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
Meowwwwwwwwwwwwwwwwwww !!


I'm a man of few words, BUT I use 'em often!!
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