[20 m] A can run a kilometre in 4 min 54 sec and B in 5 min. How many metres start can A give B in a km rac

For Competitive Exams

A can run a kilometre in 4 min 54 sec and B in 5 min. How many metres start can A give B in a km race so that the race may end in a dead heat?

25 m

20 m

15 m

10 m

Explanation:

i.e., in this race, A will win by $\left(5 min - 4 min 54 sec\right)$ = $\left(300 sec - 294 sec\right)$ = 6 sec

B covers 1000 m in 5 min

=> B covers 1000 m in 300 sec

$\text{=> B covers }\dfrac{1000}{300}= \dfrac{10}{3}\text{m in 1 sec}$

$\text{=> B covers }\dfrac{10}{3} \times 6 = 20\text{ m in 6 sec}$

i.e., A can give B a start of 20 metre so that the race will end in a dead heat.

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