Races and Games Practice Test 1 with solutions

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Question : 8 of 40

Marks: +1, -0

A beats B by 30 m and C by 14 m in a race of 300 metres. By how many metres will C beat B in a race of 400 metres?

25 metres
20 metres
22.3 metres
19.5 metres
35 metres

Solution:

Required distance =

({y_1-y_2}/{x_1-x_2})×x_2

y_1

= 30,

y_2

= 14,

x_1

= 300,

x_2

= 400
=

({30-14}/{300-14})× 400

⇒

{16}/{286}× 400

=

{6400]/{286}

= 22.3 metres

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