Races and Games - Arithmetic Aptitude Questions and Answers

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A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

5.15 kmph

4.14 kmph

4.25 kmph

4.4 kmph

Answer : Option B

Explanation :

A's speed = [ 5 x $\frac { 5 } { 18 } ]$ m/sec = $\frac { 2 } { 18 }$ m/sec

Time taken by A to cover 100 m = [100 x $\frac { 18 } { 25 }$ ] sec = 72 sec

Time taken by B to cover 92 m = (72 + 8) = 80 sec.

B's speed = [ $\frac { 90 } { 80 }$ x $\frac { 18 } { 25 }$ ] kmph =4.14 kmph.

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