A runs 1 2/3 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?
A. 200 m
B. 300 m
C. 270 m
D. 160 m
A. 200 m
B. 300 m
C. 270 m
D. 160 m
A. 21 m
B. 26 m
C. 28 m
D. 29 m
[B].
[C].
[D].
Answer: Option B
Explanation:
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 | m | = 80 m. | |
| 90 |
B can give C 20 m.
A. 111.12 m
B. 888.88 m
C. 777.52 m
D. 756.34 m
Explanation:
A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 – 888.88 = 111.12 m.
A. 50
B. 40
C. 25
D. 15
Explanation:
A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (100 – 75) = 25 points to C.
[B].
[C].
[D].
Answer: Option B
Explanation:
| A’s speed = | 5 x | 5 | m/sec | = | 25 | m/sec. | |
| 18 | 18 |
| Time taken by A to cover 100 m = | 100 x | 18 | sec | = 72 sec. | |
| 25 |
Time taken by B to cover 92 m = (72 + 8) = 80 sec.
| B’s speed = | 92 | x | 18 | kmph | = 4.14 kmph. | |
| 80 | 5 |
A. 86 sec
B. 80 sec
C. 76 sec
D. None of these