CAT 1996 | Question: 145

Question

In a mile race Akshay can be given a start of 128 meters by Balram. If Balram can give Chetan a start of $4$ metres in a $100$ metres dash, then who out of Akshay and Chetan will win a race of one and halfmile, and what will be the final lead given by the winner to the loser? (One mile is. $1600$ metres).

• A. Akshay, $1/12$ miles
• B. Chetan, $1/32$ miles
• C. Akshay, $1/24$ miles
• D. Chetan, $1/16$ miles

Answer 1

When Balram (B) covers 1600 m, Akshay (A) covers (1600 - 128) m.

So, when B covers (1600/16) = 100 m, A covers (128/16) m = 8 m less i.e. 92 m. 
When B covers 100 m, C covers (100 - 4) = 96 m.

Thus the ratio in which A and C cover distances is 92: 96.

In 96 m, C gains (96 - 92) = 4 m over A.
So in 1.5 miles (i.e. 2400 m), c gains 100 m = (1/16) miles over A.

Option D is Correct Answer.

Comments

Balram became Bhargav?

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No Sir. He will remain Balram..

#edited.