SOLUTION: Please help me solve this : There are two trains. The rabbit heads north on the expressway at 45kph. Exactly 12 minutes after, Panther follows at a steady speed of 54kph. How lo

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Question 1194491: Please help me solve this :
There are two trains. The rabbit heads north on the expressway at 45kph.
Exactly 12 minutes after, Panther follows at a steady speed of 54kph. How
long does it take Panther to overtake the Rabbit?
Please Include Represent, Relate, Equate, Solve and Prove. Thank you!
Found 3 solutions by ankor@dixie-net.com, MathTherapy, josgarithmetic:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
There are two trains.
The rabbit heads north on the expressway at 45kph.
Exactly 12 minutes after, Panther follows at a steady speed of 54kph.
How long does it take Panther to overtake the Rabbit?
:
Notice that when one train catches the other, they will travel the same distance
:
Change 12 min to hrs. 12/60 = .2 hrs. We need to do this because the speed is
in km per hour
let t = travel time (in hrs) of P
then R leaves 12 min earlier, therefore
(t+.4) = travel time of R
:
P's dist = R's dist
54t = 45(t+.4)
54t = 45t + 18
54 - 45t = 18
9t = 18
t = 18/9
t = 2 hrs for P to catch R
"
"
Check, find the actual dist for each, should be equal
2 * 54 = 108 km
2.4 * 45 = 108
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

There are two trains. The rabbit heads north on the expressway at 45kph.
Exactly 12 minutes after, Panther follows at a steady speed of 54kph. How
long does it take Panther to overtake the Rabbit?
Please Include Represent, Relate, Equate, Solve and Prove. Thank you!
He's wrong! 

One (1) hour after Panther leaves, it'll overtake Rabbit.
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
12 minutes same as ;
Distance to be closed is .

Approach rate is or 9 kilometers per hour.

x, how much time to catch up or close the distance
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