Question : In a 120-metre race, P beats S by 6 metres. If S starts with ahead start of 7.5 metres and it is a 100-metre race, then who wins the race and how many metres? (Correct to 2 decimal places)
Option 1: S, 2.63
Option 2: P, 3.63
Option 3: S, 3.63
Option 4: P, 2.63
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Correct Answer: P, 2.63
Solution :
Given,
In a 120-metre race, P beats S by 6 metres
S starts with ahead start of 7.5 metres and it is a 100-metre race
If S runs 114 metres, then P runs 120 metres
When S runs 92.5 metres, then P runs = $\frac{92.5\times 120}{114}$ = 97.37 metres
⇒ P wins by = 100 – 97.37 = 2.63 m.
Hence, the correct answer is P, 2.63 m.
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