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- Question
- A and B take part in a 100 m race. A runs at 5 Km/h. A gives B a start of 8 m and still beat him by 8 sec. Speed of B is :
Options- A. 5.15 km/h
- B. 4.14 km/h
- C. 4.25 km/h
- D. 4.4 km/h
- Correct Answer
- 4.14 km/h
ExplanationA's speed = (5 * 5 / 18) m/sec = 25 / 18 m/sec
Time taken by A to cover 100 m = (100 * 18 / 25) sec = 72 seconds.
? B covers 92 m in 72 + 8 = 80 seconds.
B's speed = (92 / 80 * 18 / 5) Km/h = 4.14 Km/h. - 1. Two boys, A and B, runs at 4 1? 2 and 6 Km an hour. A having 190 m start. The course being 1 Km, B wins by a distance of :
Options- A. 60 m
- B. 65 m
- C. 45 m
- D. 75 m Discuss
- 2. In a 500 m race, the ratio of speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Options- A. 60 m
- B. 40 m
- C. 20 m
- D. 10 m Discuss
- 3. In a game A can give B 25 points in 75 and C 18 points in 90. How many points can C give B in a game of 120?
Options- A. 20
- B. 30
- C. 40
- D. 50 Discuss
- 4. In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meter will A beat C in a race of 400 m?
Options- A. 78 m
- B. 56 m
- C. 76 m
- D. 86 m Discuss
- 5. In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meters will A beat C in a race of 400 m?
Options- A. 364 m
- B. 254 m
- C. 324 m
- D. 354 m Discuss
- 6. From a point on a circular tract 5 Km long A, B and C started running in the same direction at the same time with speeds of 2 1? 2 Km/h, 3 Km/h and 2 Km/h. respectively. Then on the starting point all three will meet again after :
Options- A. 30 hours
- B. 6 hours
- C. 10 hours
- D. 15 hours Discuss
- 7. In a 100 m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Km/h, then the speed of Bimal is :
Options- A. 15.4 km/h
- B. 14.5 km/h
- C. 14.4 km/h
- D. 14 km/h Discuss
- 8. In a 100 meter race, A runs at 5Km/h. A gives B a start of 8 meter and still beats him by 8 sec. Find out the speed of B.
Options- A. 6.14 Km/h
- B. 4.14 Km/h
- C. 3.14 Km/h
- D. 2.14 Km/h Discuss
- 9. In a Km race A beats B by 100 m and C by 200 m. By how many can B beat C in a race of 1350 m?
Options- A. 150 m
- B. 120 m
- C. 1200 m
- D. 210 m Discuss
- 10. A can run a distance of 1 Km in 3 minutes 10 seconds and B can run the same distance in 3 minutes 20 seconds. If they start together, by what distance will A beat B?
Options- A. 50 m
- B. 30 m
- C. 36 m
- D. 60 m Discuss
Races and Games problems
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Correct Answer: 60 m
Explanation:
Speeds (in m/sec) of A and B are
9 / 2 * 5 / 18 = 5 / 4 and 6 * 5 / 18 = 5 / 3, respectively.
A has a start of 190 m.
So, A has to run 1000 - 190 = 810 m, while B 1000 m.
Time taken by B to cover 1000 m = 3 5 × 1000 = 600 seconds.
In this time, A covers 5 × 600 / 4 = 750 m.
So, B reaches the winning post while A remains 810 - 750 = 60 m behind.
? B wins by 60 m.
Correct Answer: 20 m
Explanation:
To reach the winning post, A will have to cover a distance of (500 - 140). i.e, 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers 4 × 360 / 3 = 480 m.
So, A reaches the winning post while B remains 20 meter behind.
? A wins by 20 m.
Correct Answer: 20
Explanation:
When A scores 75 points, B scores 50 points.
When A scores 90 points, C scores (90 - 18) = 72 points.
? When A scores 75 points, C scores = 72 × 75 / 90 = 60 points.
A : B : C = 75 : 50 : 60
C : B = 60 / 50 = 120 / 100
So, in a game of 120, C can give B
(120 - 100) = 20 points.
Correct Answer: 76 m
Explanation:
If A runs 600 m, B runs 600 - 60 or, 540 m.
If A runs 400 m, B runs = 540 x 400 / 600 = 360 m.
Now, when B runs 500 m, C runs 500 - 50 = 450 m.
? When B runs 360 m, C runs = 450 * 360 / 500 = 324 m
? A beats C by 400 - 324 = 76 m.
Correct Answer: 324 m
Explanation:
Clearly, if A runs 600 meters, B runs = 540 m.
? If A runs 400 m, B runs = 540 x 400 / 600 = 540 x 4 / 6 = 90 x 4 = 360 m
Again, when B runs 500 m, C runs = 450 m
? When B runs 360 m, C runs = 450 x 360 / 500 = 45 x 36 / 5 = 9 x 36 = 324 m.
? A beats C by 400 - 324 = 76 m.
Correct Answer: 10 hours
Explanation:
A will reach at starting point in 5 * 2 / 5 = 2 hours ;
B will reach at starting point in 5 / 3 hours ;
C will reach at starting point in 5 / 2 hours ;
Then, on the starting point all three will meet after the L.C.M. of 2, 5 / 3, 5 / 2, 10 / 1 = 10 hours.
Correct Answer: 14.4 km/h
Explanation:
Time taken by Kamal to run 100 m = 100 / 18 x 5 / 18 = 20 s Therefore, time taken by Bimal to run 100 m = 20 + 5 = 25 s
Hence, Bimal's speed = 100 / 25 = 4 m/sec = 4 x 18 Km/h = 14.4 Km/h
Correct Answer: 4.14 Km/h
Explanation:
Time taken by A to cover 100 meters
= 100 ÷ (5 * 5 / 18) = 72 seconds.
? B covers (100 - 8) or, 92 meters in (72 + 8) or, 80 seconds.
? Speed of B = ( 92 / 80 ) * ( 16 / 5 ) = 4.14 Km/h.
Correct Answer: 150 m
Explanation:
While Arun's 1000 m, B runs 1000 - 100 = 900 m and C runs 1000 - 200 = 800 m.
? While B runs 900 m, C runs 800 m.
? While B runs 1350 m; C runs 800 / 900 × 1350 = 1200 m
? B can beat C by 1350 - 1200 = 150 m.
Correct Answer: 50 m
Explanation:
According to question,
A can run a distance of 1 Km in 3 minutes 10 seconds and B can run the same distance in 3 minutes 20 seconds.
A beats B by 10 sec.
So distance covered by B in 10 sec. = (1000 *10 / 200) m = 50 m
? A beat B by 50 m.
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