Races and Games - Arithmetic Aptitude Questions and Answers

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In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

60 m

40 m

20 m

10 m

Answer : Option C

Explanation :

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers [\( \frac { 4 } { 3 } \) x 360]m =480 m

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.