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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 :

A. 24 m

B. 26 m

C. 28 m

D. 30 m

Discuss Work Space

Answer: 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, :

A. 18 m

B. 20 m

C. 24 m

D. 9 m

Discuss Work Space

Answer: 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 :

A. 5.4 m

B. 4.5 m

C. 5 m

D. 6 m

Discuss Work Space

Answer: 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?

A. 4 : 3

B. 9 : 10

C. 10 : 9

D. 3 : 4

Discuss Work Space

Answer: 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.

A. 1.6 m/sec

B. 2 m/sec

C. 2.6 m/sec

D. 3 m/sec

Discuss Work Space

Answer: 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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