Time, Speed & Distance
Aptitude

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Q.

Karan and Arjun run a 100-meter race, where Karan beats Arjun 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

 A.

Karan and Arjun reach the finishing line simultaneously

 B.

Arjun beats Karan by 1 metre

 C.

Arjun beats Karan by 11 metres

 D.

Karan beats Arjun by 1 metre

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Solution:
Option(D) is correct

Situation (I): 

In whatever time Karan covers a distance of 100 m, Arjun covers 90 m in the same time.

Situation (II): 

Now Karan is 10 m behind the starting point. Once again to cover 100 m from this new point Karan will be taking the same time as before. In this time Arjun will be covering 90 meters only. 

This means that now both of them will be at the same point, which will be 10 meters away from the finish point. 
Since both of them are required to cover the same distance of 10 m now and Karan has a higher speed, he will beat Arjun.

No need for calculations as option (4) is the only such option.


(1) Comment(s)


Manohar Tangi
 ()

in first case karan travels 100m,then arjun will travel 90m.

in 2nd case karan travels 110m,then karan will be at

=(90*110)/100

=99m.

so karan beats arjun by 1m.