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A runs 1⅔ times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

200 m
300 m
270 m
160 m

Correct Answer: 200 m

Explanation:

Ratio of the speeds of A and B =	5	: 1 = 5 : 3.
	3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of	❨	5	x 80	❩m	= 200 m.
		2

∴ Winning post is 200 m away from the starting point.

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