Discussion
A runs at a speed 4% more than B. If B is allowed a lead of 3 m, then they end the race in dead heat. What is the length of the race?
Answer: C
The race is 78 m long. A is 4% faster, so speeds are in the ratio 104 : 100. B is given a 3 m lead, so B runs (L - 3) while A runs L in the same time: \[ \frac{L}{104} = \frac{L - 3}{100} \] \[ 100L = 104L - 312 \Rightarrow L = 78 \]
74, 76 and 80 do not satisfy this equation.
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