Races and Games - Arithmetic Aptitude Questions and Answers

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In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

5.4 m

4.5 m

5 m

6 m

Answer : Option D

Explanation :

A : B = 100 : 90.

A : C = 100 : 87.

$\frac {B } { C }$ = $\frac {B } { A}$ X $\frac {A } {C}$ = $\frac { 90 } { 100 }$ x $\frac { 100} { 87 }$ x $\frac { 30 } { 29}$

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs[

$\frac { 30 } { 29} * 180]$ m =174m

B beats C by (180 - 174) m = 6 m.

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