A runs 1 2⁄3 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? Choose the correct choice from the following:
A) 200 m  B) 250 m  C) 450 m  D) 350 m  E) 270 m
Speed of A : Speed of B = 5⁄3 : 1 = 5 : 3   i.e., In a race of 5 m, A runs 5 m and B runs 3 m   i.e., A gains 2 m over B in a race of 5 m   =&gt; A gains 80 m over B in a race of 52×80 = 200 m   Hence, winning point should be 200 m away from the starting point.   200 mNSWER:200 m
<result>A</result>
A runs 1 2⁄3 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?