SOLUTION: Tom and Jerry run 6000m 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 eac
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Question 1047312: Tom and Jerry run 6000m 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.
I'm not sure how to do this, I found out that Tom is 14 4000m/60 mins and Jerry is 12,000m/60 mins and Tom is running from B to A after 25 mins while Jerry has only run 5000m but then I'm not sure what to do. Help! Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
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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Answer. x = 27.(27) minutes.
Solution
Tom's rate is = 240 m/min.
Jerry's rate is = 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 = = 27.(27) minutes before they meet each other.
