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- Question
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
Options- A. 5.15 kmph
- B. 4.14 kmph
- C. 4.25 kmph
- D. 4.4 kmph
- Correct Answer
- 4.14 kmph
ExplanationA's speed = (5*5/15)m/sec = (25/18)m/sec
Time taken by A to cover 100 m = (100*18/15)sec = 72sec
Time taken by B to cover 92 m = (72 + 8) = 80 sec.
B's speed =(92/80*18/5)kmph =4.14kmph
- 1. A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
Options- A. 100 m
- B. 75 m
- C. 25 m
- D. 50m Discuss
- 2. In a 1 km race, A beats B by 28 meters in 7sec. Find A's time over the course?
Options- A. 5min,4sec
- B. 4min,3sec
- C. 2min,3sec
- D. 3min,4sec Discuss
- 3. In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
Options- A. 5.4m
- B. 4.5m
- C. 5m
- D. 6m Discuss
- 4. A vendor buys some bananas at the rate of 2 for Re 1 and sells at the rate of 10 for Rs 7. What will be the result?
Options- A. 40 percent loss
- B. 28.57 percent gain
- C. 40 percent gain
- D. 28.5 percent loss Discuss
- 5. A shopkeeper by selling 22 Skechers shoes, earns a profit equal to the selling price of 6 Skechers shoes. His profit percentage is:
Options- A. 27.2 percent
- B. 37.5 percent
- C. 54.4 percent
- D. 16.9 percent Discuss
- 6. In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options- A. 20m
- B. 25m
- C. 22.5m
- D. 9m Discuss
- 7. In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Options- A. 60m
- B. 40m
- C. 20m
- D. 10m Discuss
- 8. In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
Options- A. 40 sec
- B. 47sec
- C. 33sec
- D. none of these Discuss
- 9. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
Options- A. 30 points
- B. 20 points
- C. 10 points
- D. 12 points Discuss
- 10. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?
Options- A. 127.5 m
- B. 254 m
- C. 184 m
- D. 212 m Discuss
Races and Games problems
Search Results
Correct Answer: 100 m
Explanation:
When B runs 25 m, A runs 45/2 m
When B runs 1000 m, A runs (45/2*1/25*1000)m = 900 m.
B beats A by 100 m.
Correct Answer: 4min,3sec
Explanation:
B covers 28 meters in 7sec. So, B's time over the course = (7/28)*100 =250 sec.
Whereas A's time over the course = 250 -7 = 243 sec.
i.e A's time over the course is 4min , 3 sec.
Correct Answer: 6m
Explanation:
A : B = 100 : 90.
A : C = 100 : 87.
B/C = (B/A*A/C) = (90/100*100/87) = 30/29
When B runs 30 m, C runs 29 m.
When B runs 180 m, C runs (29/30*180)m =174m
B beats C by (180 - 174) m = 6 m.
Correct Answer: 40 percent gain
Correct Answer: 37.5 percent
Correct Answer: 20m
Explanation:
Distance covered by B in 9 sec. = (100/45)*9m = 20m
A beats B by 20 metres.
Correct Answer: 20m
Explanation:
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 (4/3)*360 = 480 m.
Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.
A wins by 20 m.
Correct Answer: 33sec
Explanation:
B runs 35 m in 7 sec.
B covers 200 m in (7/35*200) = 40 sec.
B's time over the course = 40 sec.
A's time over the course (40 - 7) sec = 33 sec.
Correct Answer: 10 points
Explanation:
A : B = 60 : 45.
A : C = 60 : 40.
B/C = (B/A*A/C) = (45/60*60/45) = 45/40 = 90/80 = 90:80
B can give C 10 points in a game of 90.
Correct Answer: 127.5 m
Explanation:
When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m.
In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.
In a race of 600 m, the number of meters by which A beats C
= (600 x 212.5)/1000 = 127.5 m.
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