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Races and Games

Races and Games - Important Points


11.

In a 500 m race, the ratio of the speeds of Akriti and Bishnu is 3 : 4. Akriti has a start of 140 m. Then, Akriti wins by:

A. 50 m

B. 40 m

C. 20 m

D. 10 m

Discuss Work Space

Answer: option c

Explanation:

Akriti runs 360 m and Bishnu runs 1/3 more i.e. 480 m. So, Akriti wins by 20 m.


12.

In a race of 600 m, Amit beat Billu by 60 m and in another race of 500 m, Billu beat Chetan by 50 m. By how many metres will Amit beat Chetan in a 400 m race?

A. 76 m

B. 74 m

C. 72 m

D. 78 m

Discuss Work Space

Answer: option a

Explanation:

Speed of Amit : Speed of Billu = 600 : 540.

Speed of Billu : Speed of Chetan = 500 : 450.

Speed of Amit : Speed of Chetan = (600/540) x (500/450)

= 200/162 = 400/324.

Amit can beat Chetan by 76 m.


13.

Abdul, Bilal and Curie are three contestants in a km race. If Abdul can give Bilal a start of 40 m and Abdul can give Curie a start of 64 m, then, how many meter start can Bilal give Curie?

A. 25

B. 33

C. 48

D. 57

Discuss Work Space

Answer: option a

Explanation:

Speed of Abdul : Speed of Bilal = 1000 : 960 = 25 : 24.

Speed of Abdul : Speed of Curie = 1000 : 936 = 125 : 117.

Speed of Abdul : Speed of Curie = (125/117) x (24/25) = 120/117 = 1000/975.

So, Abdul can give Curie a start of 25 m.



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