Question 1047312
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Tom and Jerry run 6000 m from A to B and then back to A. Tom runs the 12 000 m in 50 minutes, wile Jerry takes 60 minutes. 
Each runs at a constant rate. If x is the time they've each been running for when they meet each other, find x in minutes.
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<U>Answer</U>. x = 27.(27) minutes.


<U>Solution</U>


<pre>
Tom's   rate is {{{12000/50}}} = 240 m/min.
Jerry's rate is {{{12000/60}}} = 200 m/min

Tom is running faster, so he will make his 6000 m and will be in his returning way when he will meet Jerry.

So, the equations are 

6000 + x = 240t   (1)   for Tom, and
6000 - x = 200t   (2)   for Jerry.

"x" is "additional distance for Tom, t is the time before they meet each other.

Add equations (1) and (2). You will get

12000 = 240t + 200t,  or 12000 = 440t,  hence,  t = {{{12000/440}}} = 27.(27) minutes before they meet each other.
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