Time taken by the fastest runner to finish the race?
Sir / Madam,
My questions is,
In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?
Advance Thanks,
R.Rengaraj
{InfosysTrain-Q108 Pg26}
My questions is,
In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?
Advance Thanks,
R.Rengaraj
{InfosysTrain-Q108 Pg26}
Replies
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Hussanal Farokesuppose two car reach the same point at x meter far. and u is the speed of slowest, then x=5u------(eq.1)., at the same time fastest cover x+circumference, equal x+1000, ie, x+1000=5*(2u)=10u. put 2x instead of 10u( :- 5u=x eq.1) then
x+1000=2x.
x=1000
(from eq1) u=1000/2=200
speed of fastest = 2*200
= 400.
so the time required to finish is 4000/400 minutes,
=10 minutes.
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