[14.5 metre] In a 100 metres race, A can beat B by 10 metres and B can beat C by 5 metres. In the same race, A ca

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In a 100 metres race, A can beat B by 10 metres and B can beat C by 5 metres. In the same race, A can beat C by

14.5 metre

14 metre

15.5 metre

15 metre

Explanation:

While A runs 100 metre, B runs $\left(100-10\right)$=90 metre

While B runs 100 metre, C runs $\left(100-5\right)$=95 metre

$\text{=> While B runs 90 metre, C run }\dfrac{95}{100} \times 90 = \dfrac{95 \times 9}{10}\text{ = 85.5 metre}$

ie, when A run 100 metre, B run 90 metre and C run 85.5 metre

Hence, A beat C by $\left(100-85.5\right)$= 14.5 metre

Additional Questions

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