A can run 250m in 25 sec and B in 30 sec. How many metres start can A give to B in a km race so that the race may end in a dead-heat?
Answer & explanation
Correct answer: option 3
Distance covered by A in 25 seconds = 250 m
Distance covered by A in 100 seconds = 1 km
Similarly , 1 km Distance is covered by B in = 120 sec
Distance covered by B in extra 20 seconds
= \(\frac{20}{120}\) × 1000 m
= \(\frac{20}{120}\) m
= 166.67 m
So, A beats B by 166.67 m.
For a dead-heat race, A must give B a start of 166.67 m.