In a 1-kilometre race, A can beat B by 30 metres, while in a 500

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1.

In a 1-kilometre race, A can beat B by 30 metres, while in a 500-metre race B can beat C by 25 metres. By how many metres will A beat C in a 100-metre race?

  • 7.85

  • 7.25

  • 7.15

  • 8.75


A.

7.85

When A runs 1000 metre, B runs 970 metre.
∴  When A runs 100 m, B runs 97 metre.

When B runs 500 metre, C runs 475 metre
∴    When B runs 97 metre, C runs,

    
∴   A will beat C by (100 - 92.15) = 7.85 metre. 

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