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Symbiosis National Aptitude Test SNAP 2018 Paper

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Question : 65 of 130

Marks: +1, -0

In a running race, when one runner allows another runner to stay ahead at the start of the race, then it is termed as startup and when runners reach the finishing line at the same time, then it is termed as dead heat. In a race of 4 km distance, Anu wins by 600 m over Binu. Binu can give a startup of 200 m to Caira in a 4 km race. By how much distance should Caira get startup so that the race between Anu and Caira ends in dead heat in the same race of 4 km?

700m
750m
770m
725m

Solution:

Let Anu finished the race in time t hours,

then, speed of Anu =

\frac{4000}{t}

m/hour.

Speed of Banu =

\frac{4000-600}{t}

=

\frac{3400}{t}

m/hr

(Since Anu wins Banu by 600 m)

Again, time taken by Banu to finish the race

= Time taken by caira to cover 3800m.

Time taken by Banu =

\frac{4000}{\frac{3400}{t}}

=

\frac{20}{17}

t

Now, speed of Caira =

\frac{3800}{\frac{20}{17t}}

=

\frac{3230}{t}

m/hr

Hence, to finish the race at same time Anu

should given caira a startup of 4000-3230 = 770 m

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