Races and Games
Races and Games - Important Points
6. | In a 100 m race , Amar can beat Akbar by 25 m and Akbar can beat Anthony by 4 m. In the same race Amar can beat Anthony by : |
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A. 24 m
B. 26 m
C. 28 m
D. 30 m
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Speed of Amar : Speed of Akbar = 100 : 75 = 4 : 3.
Speed of Akbar : Speed of Anthony = 100 : 96 = 25 : 24.
So, Speed of Amar : Speed of Anthony = 25 : 18 OR 100 : 72.
Hence, Amar can beat Anthony by 28 m.
7. | In a 100 m race , Amar can give a start of 10 m to Akbar 28 m to Anthony. In the same race Akbar can give Anthony, a start of, : |
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A. 18 m
B. 20 m
C. 24 m
D. 9 m
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Speed of Amar : Speed of Akbar = 100 : 90 = 10 : 9.
Speed of Amar : Speed of Anthony = 100 : 72 = 25 : 18.
So, Speed of Akbar : Speed of Anthony = (25/18) x (9/10).
So, Amar can give Anthony a start of 20 m.
8. | In a 100 m race, Dave beat Ainie by 10 m and Steve by 13 m. In a race of 180 m, Ainie will beat Steve by : |
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A. 5.4 m
B. 4.5 m
C. 5 m
D. 6 m
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Speed of Dave : Speed of Ainie = 100 : 90 = 10 : 9.
Speed of Dave : Speed of Steve = 100 : 87.
So, Speed of Ainie : Speed of Steve = (100/87) x (9/10) = 90 : 87 = 180 : 174.
So, Ainie can beat Steve by 6 m.
9. | In a 200 m race, Jai gives Veeru a start of 30 m but still beats him by 20 m. What is the ratio of speeds of Veeru to Jai? |
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A. 4 : 3
B. 9 : 10
C. 10 : 9
D. 3 : 4
View Answer Discuss Work SpaceAnswer: option d
Explanation:
For Jai, race is of 200 m but for Veeru race is for 170 m.
In the time Jai completes 200 m, Veeru completes only 150 m.
So, Speed of Veeru : Speed of Jai = 150 : 200 = 3 : 4
10. | In a 100 metres race. Alia runs at a speed of 2 metres per seconds. If Alia gives Binni a start of 4 metres and still beats him by 10 seconds, find the speed of Binni. |
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A. 1.6 m/sec
B. 2 m/sec
C. 2.6 m/sec
D. 3 m/sec
View Answer Discuss Work SpaceAnswer: option a
Explanation:
Time taken by Alia = 100/2 = 50 sec.
Time taken by Binni = 60 sec.
Speed of Binni = (100-4)/60 = 1.6 m/sec
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