Races and Games

A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?

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A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?

A. 150 m
B. 125 m
C. 130 m
D. 100 m
Explanation:
A can give B (5 min – 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.

A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?

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A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?

A. 111.12 m
B. 888.88 m
C. 777.52 m
D. 756.34 m
Explanation:
A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
B can give C = 1000 – 888.88 = 111.12 m.