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A runs $1 \frac{3}{4}$ times as fast as B. If A gives B a start of 84 m, how far must the winning post be so that both reach it together?

Competition practiceRaces & Circular Tracks

A112 m
B210 m
C196 m
D147 m

Step-by-Step Solution

A :

B = 7

: 4. In the same time A runs

d

and

B

runs

d - 84 : \frac{d - 84}{d} = \frac{4}{7} \Rightarrow 3 d = 588 \Rightarrow d = 196

m.

Answer: C) 196 m

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