Races - Question A Day - CAT 2008
May 06,
2002 � 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?
Solution �
June 18, 2002 � 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?
Solution �
July 12, 2002 � In a kilometre race, A can give B a start of 100 m
or 15 seconds. How long does A take to complete the race?
Solution �
August 07, 2002 � A gives B a start of 10 metres in a 100 metre
race and still beats him by 1.25 seconds. How long does B take to complete the
100 metre race if A runs at the rate of 10 m/sec?
Solution �
August 28, 2002 � A predator is chasing its prey. The predator
takes 4 leaps for every 6 leaps of the prey and the predator covers as much
distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting
its food?
Solution �
February 19, 2003 � 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?
Solution �
May 22, 2003 � 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.
Solution �
June 2, 2003 � 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?
Solution �
June 30, 2003 � 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?
Solution �
August 13, 2003 � 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?Solution
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September 09, 2003 � A can give B a start of 50 metres or 10
seconds in a kilometer race. How long does A take to complete the race?Solution
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November 11, 2003 � 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?Solution
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