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- Question
- In 1 km race, P beats Q by 72 m in 12 s. Find the P's time over the course.
Options- A. 1552/3 s
- B. 151 s
- C. 1542/3 s
- D. 160 s
- Correct Answer
- 1542/3 s
ExplanationAccording to the formula,
Time taken by the winner/Distance covered by the loser = Difference of winning time/ Difference of winning distance
? Time taken by P//(1000 - 72) = 12/72
? Time taken by P = (12/72) x 928
= 464/3 = 1542/3 s - 1. In a 250 m race, the ratio of speeds of A and B is 1 : 2, If A has a start of 140 m, then A wins by how many metres?
Options- A. 45 m
- B. 15 m
- C. 25 m
- D. 30 m Discuss
- 2. A runs 1% times as fast as B. If A gives B a start of 30 m, how far must the winning post be, so that A and B reach it at the same time?
Options- A. 52 m
- B. 75 m
- C. 69 m
- D. 70 m Discuss
- 3. In a race of 600 m, A can beat B by 30 m and in a race of 500 m, B can beat C by 25 m. By how many metres will A beat C in a race of of 400 m?
Options- A. 39 m
- B. 49 m
- C. 55 m
- D. 25 m Discuss
- 4. At a game of billiards, A can give B 6 points in 50 and he can give C 13 in 65. In a game of 55, number of points B can give C is:
Options- A. 3
- B. 4
- C. 5
- D. 8 Discuss
- 5. A runs 1 3? 8 times as fast as B. If A gives B a start of 120 m and they reach the goal at the same time, the goal is at a distance of:
Options- A. 360 m
- B. 440 m
- C. 460 m
- D. 380 m Discuss
- 6. X covers 1 km in 8 min 40 s while Y covers the same distance in 10 min. By what distance does X defeat Y?
Options- A. 131/3 m
- B. 1332/3 m
- C. 1332/5 m
- D. 1331/3 m Discuss
- 7. L can run 1 km in 10 min while M can run it in 12 min. How many metres start can L give M in a km race, so that the race may end in a dead heat?
Options- A. 1662/3 m
- B. 1661/3 m
- C. 1663/5 m
- D. 200 m Discuss
- 8. Yogesh can run 1km in 6 min 20 s and Vijay can cover the same distance in 6 min 40 s . By what distance can Yogesh beat Vijay?
Options- A. 50 m
- B. 90 m
- C. 45 m
- D. 30 m Discuss
- 9. In a game of 160 points, A can give 10 points to B and 30 points to C. How many points B can give C in a game of 60?
Options- A. 10
- B. 15
- C. 6
- D. 8 Discuss
- 10. In a 200 m race, A can beat B by 50 m and B can beat C by 8 m. In the same race , A can beat C by what distance?
Options- A. 60 m
- B. 72 m
- C. 56 m
- D. 66 m Discuss
Races and Games problems
Search Results
Correct Answer: 30 m
Explanation:
To reach the winning post, A has to cover (250 - 140)m = 110 m
From the the ratio of 1 : 2 ,
When A covers 1m, then B covers 2 m.
When A covers 110 m, then B covers
( 2 x 110)m = 220 m
? A wins by (250 - 220) = 30 m
Correct Answer: 70 m
Explanation:
A is 13/4 faster than B.
Then, ratio of the rates of A and B = 7 : 4
3 m are gained in a race of 7 m .
30 m are gained in a race of (7/3) x 30 = 70 m
Correct Answer: 39 m
Explanation:
If A runs 600 m, then B runs 570 m.
If A runs 400 m, B then runs (570/600) x 400 m = 380 m
When B runs 500 m, then C runs 475 m,
When B runs 380 m, then C runs (475/500) x 380 = 361 m
? A beats C by (400 - 361) = 39 m
Correct Answer: 5
Explanation:
In a game of 50.
While A scores 50, B scores 50 - 6 = 44 and in a game of 65. While A scores 65, C scores 65 - 13 = 52.
? While A scores 50, C scores 52 / 65 × 50 = 40.
? While B scores 44, C's score = 40.
While B scores 55, C's score = 40 / 44 × 55 = 50.
? In a game of 55,
B can give C 55 - 50 = 5 points.
Correct Answer: 440 m
Explanation:
The speed of A and B are in the ratio 11 : 8.
Let, speeds be 11s and 8s (in m/sec).
Let, race be of P meter.
Then, time taken by A to run P meter is same as that of B to run (P - 120) meter.
? P / 11 = (P - 120) / 8
? P / 11 = (P - 120 / 8
? 8P = 11 x (P - 120 )
? 8P = 11P - 120 x 11
? 11P - 8P = 120 x 11
? 3P = 11 × 120
? P = 440.
Correct Answer: 1331/3 m
Explanation:
Clearly, X beats Y by 8 s.
Distance covered by Y in 600 s = 1000 m
(? 10 min = 600 s)
Distance covered by Y 80 s. = (1000/600) x 80 = 400/3 m = 1331/3 m
Correct Answer: 1662/3 m
Explanation:
Time taken by L to run 1 km = 600 s
Time taken by M to run 1 km = 720 s
? L can give M a start of (720 - 600) = 120 s
? In 720 s, M runs 1000 m.
In 120 s M runs = (1000/720) x 120 = 500/3 m = 1662/3 m
Hence, L can give a start of 1662/3 m
Correct Answer: 50 m
Explanation:
Clearly, Yogesh beats vijay by 20 s.
Distance covered by vijay in 400 s = 1000 m
[? 6 min 40 s = 400 s]
Distance covered by Vijay in 20 s = (1000/400) x 20 m = 50 m
? Yogesh beats Vijay by 50 m.
Correct Answer: 8
Explanation:
A : B = 160 : 150, A : C =160 : 130
B/C = (B/A) x (A/C) = (150/160) x (160/130) = 15/13 = 60 : 52
? In a game of 60, B can give C = (60 - 52)= 8 points
Correct Answer: 56 m
Explanation:
According to the question, A : B = 200 : 150
and B : C = 200 : 192
? A : C = (A/B) x (B/C) = (200/150) x (200/192) = 200/144
So, A beats C by (200 - 177) = 56 m
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