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September 5th, 2018, 01:42 PM   #11
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Quote:
 Originally Posted by zylo After first lap A is at beginning, B is at 16 and C is at 8. Distance between B and C is 8 and distance between A and B is 16.
How do you figure distance between A and B = 16? I make it 12:

[A@28,B@16,C@8].........C(at 8 )........B(at 16).......................A(at 28 )

B - C = 16 - 8 = 8

A - B = 28 - 16 = 12

"When A completes the first round,
the distance between B and C is 2/3 the distance between A and B."

"2/3 the distance between A and B" = 2/3 * 12 = 8

September 6th, 2018, 03:52 AM   #12
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Quote:
 Originally Posted by skipjack After round 2, C's total distance run has doubled to be Y,
What is the meaning of "total distance run has doubled to be Y"?

Does it mean C's distance is 2Y ? I am confused with your English.

 September 6th, 2018, 04:40 AM #13 Global Moderator   Joined: Dec 2006 Posts: 20,285 Thanks: 1968 The problem doesn't define "round", so I've assumed that it refers to a single circuit of the track by A. This means that rounds 1 and 2 take the same amount of time, and so each runner covers twice as far in rounds 1 and 2 combined as they cover in round 1. It's known that C reaches Y at the end of round 2. As C is slower than B, that must be the first occasion on which C reaches Y, and so C reached Y/2 at the end of round 1.

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