Aptitude - Races and Games
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- Races and Games - Formulas
- Races and Games - General Questions
A : B = 100 : 90.
A : C = 100 : 72.
B : C = | B | x | A | = | 90 | x | 100 | = | 90 | . |
A | C | 100 | 72 | 72 |
When B runs 90 m, C runs 72 m.
When B runs 100 m, C runs | ![]() |
72 | x 100 | ![]() |
= 80 m. |
90 |
B can give C 20 m.
A's speed = | ![]() |
5 x | 5 | ![]() |
= | 25 | m/sec. |
18 | 18 |
Time taken by A to cover 100 m = | ![]() |
100 x | 18 | ![]() |
= 72 sec. |
25 |
Time taken by B to cover 92 m = (72 + 8) = 80 sec.
![]() |
![]() |
92 | x | 18 | ![]() |
= 4.14 kmph. |
80 | 5 |
To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers | ![]() |
4 | x 360 | ![]() |
= 480 m. |
3 |
Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.
A wins by 20 m.
A : B = 100 : 90.
A : C = 100 : 87.
B | = | B | x | A | = | 90 | x | 100 | = | 30 | . |
C | A | C | 100 | 87 | 29 |
When B runs 30 m, C runs 29 m.
When B runs 180 m, C runs | ![]() |
29 | x 180 | ![]() |
= 174 m. |
30 |
B beats C by (180 - 174) m = 6 m.
A : B = 60 : 45.
A : C = 60 : 40.
![]() |
B | = | ![]() |
B | x | A | ![]() |
= | ![]() |
45 | x | 60 | ![]() |
= | 45 | = | 90 | = 90 : 80. |
C | A | C | 60 | 40 | 40 | 80 |
B can give C 10 points in a game of 90.