In a 80 m race, Amar can give a start of 5 m to Akbar and a start of 20........how much start can Akbar give to Anthony?

Question

In a 80 m race, Amar can give a start of 5 m to Akbar and a start of 20 m to Anthony.
In the same race, how much start can Akbar give to Anthony?

Answer 1

I guess the answer is 15 meters

Answer 2

If amar takes time 't' to complete 80m race then
Speed of Amar = 80/t
Speed of Akbar = 75/t
Speed of Anthony = 60/t.

Therefore ratio of speed of Akhbar:Anthony = 75/60 = 5/4.
This ratio can help us get speed ratio if Akhbar covered 80m instead 75m as seen in the above case, ie.,
(5×16/t2)/(4×16/t2) ====> (5×16/t2)=75/t=(5×15/t)
& (60×16/t2)=60/t=(4×15/t)
Where t2 is the time taken by Akhbar to cover 80m
Which means Akhbar can give Anthony a head start of
80-64=16m to win the race and not 15m as some might say.