neoreaves wrote:
Jane gave Karen a 5 m head start in a 100 race and Jane was beaten by 0.25m. In how many meters more would Jane have overtaken Karen?
It took a lot of time.. Let me know if the answer is Correct..!!!
Jane traveled 100-0.25 in the same time in which Karen traveled 95.
So, 99.75 * J = 95 * K, where J and K are respective speeds of Jane and Karen.
so J = 1.05 K.
Now the distance between J and K, at the finishing line was 0.25 and difference in speeds of Jane and Karen is 0.05k.
Also, let say they both travel distance "m" from the finishing line..So distance traveled by karen is m and by Jane is 0.25 + m
and after time t they are at the same point.. so m/K = m+0.25/J
put the value of J=1.05K in the equation above we get m as 5.
so any value more than 5.00 meters will ensure that Jane wins..