in a 100 m race a can give b 10 and..., Rances & Games of Skill, General Mathematics

Question:In a 100 m race, A can give B 10 m and C 28 m.In the same race B can give C :

A 18 m 
B 20 m 
C 27 m 
D 9 m

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+ AnswerB

+ ExplanationA : B = 100 : 90 and A : C = 100 : 72

B : C` = B/A xx A/C`

   `= 90/100 xx 100/72`

    `= 90/72`

When by runs 90 m, C runs 72 m

When B runs 100 m, C runs 72 m

When B runs 100 m, C runs` (72/90 xx 100) m`

      `= 80 m`

:. B can give C 20 m.

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