Races - Circular and straight : Sample Questions - CAT 2010

Circular and straight races questions appear periodically in the Quant section of CAT

1. Question 1 »  In a km race, A gives B a start of 20 seconds and beats him by 40m. However, when he gives B a start of 25 seconds they finish in a dead heat. What is A’s speed in m/sec? Answer and Explanation »
   
   
2. Question 2 »  A takes 3 min 45 seconds to complete a kilometre. B takes 4 minutes to complete the same 1 km track. If A and B were to participate in a race of 2 kms, how much start can A give B in terms of distance? Answer and Explanation »
   
   
3. Question 3 »  A skating champion moves along the circumference of a circle of radius 21 meters in 44 seconds. How many seconds will it take her to move along the perimeter of a hexagon of side 42 meters? Answer and Explanation »
   
   
4. Question 4 »  A runs 13/5 times as fast as B. If A gives a start of 240m, how far must the post be so that A and B might reach at the same time. Answer and Explanation »
   
   
5. Question 5 »  P can give Q a start of 20 seconds in a kilometer race. P can give R a start of 200 meters in the same kilometer race. And Q can give R a start of 20 seconds in the same kilometer race. How long does P take to run the kilometer? Answer and Explanation »
   
   
6. Question 6 »  A gives B a start of 30 seconds in a km race and still beats him by 20 m. However, when he gives B a start of 35 seconds, they finish the race in a dead heat. How long does A take to run the km? Answer and Explanation »
   
   
7. Question 7 »  Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed.
   
   What was the length of the race? Answer and Explanation »
   
   
8. Question 8 »  A can give B 20 points, A can give C 32 points and B can give C 15 points. How many points make the game? Answer and Explanation »