Aptitude - Races and Games
Exercise : Races and Games - General Questions
- Races and Games - Formulas
- Races and Games - General Questions
11.
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:
Answer: Option
Explanation:
| B runs | 45 | m in 6 sec. |
| 2 |
 B covers 300 m in |
 |
6 x | 2 | x 300 |  sec |
= 80 sec. |
| 45 |
12.
A runs 1
times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Answer: Option
Explanation:
| Ratio of the speeds of A and B = | 5 | : 1 = 5 : 3. |
| 3 |
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
| 80 m will be gained by A in race of | |
5 | x 80 | m |
= 200 m. |
| 2 |
Winning post is 200 m away from the starting point.
13.
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Answer: Option
Explanation:
A : B = 100 : 75
B : C = 100 : 96.
| A : C = |
|
A | x | B | |
= | |
100 | x | 100 | |
= | 100 | = 100 : 72. |
| B | C | 75 | 96 | 72 |
A beats C by (100 - 72) m = 28 m.
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