Question

S can run a kilometer race in 9 min while T can run same race in 10 min. How many meters start can S give T in a 500 m race, so that the race match ends in a dead heat?

• A. 75 m
• B. 25 m
• C. 65 m
• D. 50 m
• E. 67.5 m

Answer 1

The correct option is D

50 m

S can give T (10 min - 9 min) = 60 sec start.

The distance covered by T in 10 min = 1000 m.

Distance covered in 60 sec = $\frac{1000\times 60}{600}$ = 100 m.

So, S can give T 100 m start in a 1 km race.

$\therefore$ S can give T 50 m start in a 500 m race.