## Races and games

#### Races and games

1. 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?
1. 125 m
2. 130 m
3. 140 m
4. 150 m

1. 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

##### Correct 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

1. In a game of 100 points A can give B 20 points and C 28 points. How many points can B give C in a game of 100 points?
1. 12 points
2. 15 points
3. 20 points
4. 10 points

1. If A scores 100 then B scores 80 and C scores 72.
∵ B scores 80 while C 72 .

##### Correct Option: D

If A Score 100 then B scores 80 and C score 72.
∵ B scores 80 while C scores 72
∴ B scores 100 while C scores 72 * 100 / 80 = 90 points
Hence, in 100 points B can give (100 – 90) = 10 points

1. 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?
1. 31 m
2. 311119 m
3. 31219 m
4. 301119 m

1. 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

##### Correct 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 = 311119 meters start.

1. 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?
1. 18 points
2. 20 points
3. 22 points
4. 25 points

1. 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

1. In a race of 300 metres A beats B by 15 metres or 5 seconds. How much time A does take to complete the race?
1. 105 sec.
2. 100 sec.
3. 95 sec.
4. 90 sec.

1. From the question it is clear that speed of B = 15 / 5 = 3 m/s
The time taken by B to cover 300 m = 300 / 3 = 100 sec.

##### Correct Option: C

From the question it is clear that speed of B = 15 / 5 = 3 m/s
The time taken by B to cover 300 m = 300 / 3 = 100 sec.
Hence, time taken by A to complete the race = 100 – 5 = 95 sec.