Discussion :: Races and Games
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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:
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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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