Races and Games Practice Test 2 with solutions

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Question : 9 of 13

Marks: +1, -0

A beats B by 30 m and C by 40 m in a race of 350 metres. By how many metres will C beat B in a race of 500 metres?

25 metres
23.07 metres
22.3 metres
19.07 metres
25.09 metres

Solution:

Required distance =

({y_1-y_2}/{x_1-x_2}) × x_2

y_1

= 40,

y_2

= 25,

x_1

= 300,

x_2

= 500
=

({40-25}/{350-25}) × 500

⇒

{15}/{325} × 500

= 23.07 metres

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