Races and games
- In a game of 250 points A can give B 50 points and C 70 points. In the same game how many points can B give C?
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In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
Correct Option: D
In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
∴ B scores 250 points while C scores 180 x 250 / 200 = 225 points
Hence, in a game of 250 points B can give C (250 – 225) = 25 points
- A can give B 50 m start and C 80 m start in the 1000 m race, how many metres start B give C in a 1000 m race?
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In a game of 1000 meters, If A scores 1000 meters then B scores 950 meters and C scores 920 meters.
∴ B runs 1000 m while C scores 920 x 1000 / 950= 18400 / 19 mCorrect Option: B
In a game of 1000 meters, If A scores 1000 meters then B scores 950 meters and C scores 920 meters.
∴ B runs 1000 m while C scores 920 x 1000 / 950= 18400 / 19 m
Hence, in 1000 m race, B can give C (1000 - 18400 / 19) = 600 / 19 = 3111⁄19 meters start.
- Raman covers 1 km in 8 min while suman covers the same distance in 10 min. By what distance does Raman beat Suman ?
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Raman covers 1 km in 8 min and suman cover 1 km in 10 min.
If they starts together, then distance covered by suman in 8 min
= (1000/10) x 8 = 800 mCorrect Option: D
Raman covers 1 km in 8 min
and suman cover 1 km in 10 min.
If they starts together, then distance covered by suman in 8 min
= (1000/10) x 8 = 800 m
∴ Raman will beat suman by (1000 - 800 ) m = 200 m
- In a 1000 m race A beats B by 100 m and C by 200 m. By how much can B beats C in a race of 1350 m?
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If A run 1000 meters then B runs 900 meters and C runs 800 meters.
∴ B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 metersCorrect Option: D
If A run 1000 meters then B runs 900 meters and C runs 800 meters.
∴ B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 meters
Hence, B can beat C by (1350 – 1200) = 150 m
- A can run 200 m in 35 seconds and B in 38 seconds. By what distance A beats B?
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The distance covered by B in 35 seconds = 200 x 35 / 38 = 3500 / 19 m
Correct Option: C
The distance covered by B in 35 seconds = 200 x 35 / 38 = 3500 / 19 m
Now, 200 – 3500 / 19 = 300 / 19 = 1515⁄19 m Hence, A can beat B by 1515⁄19 m.