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?
P can give Q a start of 20 seconds in a kilometer race. So, if Q takes 'x' seconds to run a
kilometer, then P will take x â€“ 20 seconds to run the kilometer.
Q can give R a start of 20 seconds in a kilometer race. So, if R takes 'y' seconds to run a
kilometer, then Q will take y â€“ 20 seconds to run the kilometer.
We know Q takes x seconds to run a kilometer
Therefore, x = y â€“ 20
Therefore, P will take x â€“ 20 = y â€“ 20 â€“ 20 = y â€“ 40 seconds to run a kilometer.
i.e. P can give R a start of 40 seconds in a kilometer race, as R takes y seconds to run a kilometer
and P takes only y â€“ 40 seconds to run the kilometer.
We also know that P can give R a start 200 meters in a km race.
This essentially means that R runs 200 meters in 40 seconds.
Therefore, R will take 200 seconds to run a km.
If R takes 200 seconds to run a km, then P will take 200 â€“ 40 = 160 seconds to run a km.
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Choose the correct option.
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?
A can give B a start of 15 seconds in a km race.
B takes 4 minutes to run a km. i.e 1000/4= 250 m/min = 250/60 m/sec
Therefore, B will cover a distance of = 62.5 meters in 15 seconds.
The start that A can give B in a km race therefore, is 62.5 meters, the distance that B run in 15 seconds.
Hence in a 2 km race, A can give B a start of 62.5 * 2 = 125 m or 30 seconds.
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Choose the correct option.
Middle earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?
A takes time 2.20 min. = 140 Sec. B takes time 2.30 min. = 150 Sec.
Diffrence = (150-140) = 10 Sec.
Now we are to find distance covered in 10 sec by B
150 Sec. = 1500 m.
1 Sec=10 m.
10 Sec = 10*10=100 m
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Choose the correct option.
In a race of 4 Kms A beats B by 100 m or 25 seconds, then time taken by A is
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