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Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's remaining meters is 1:4. How many meters will Ario swim before Miguel starts the race
Case 1
Race =25 Â meter
Ario's completed meters to Ario's remaining meters is 1:4
Completed meter = 1/(1+4) Â * 25 Â = 5 meter
Ario swim before Miguel starts the race = 5 m
Case 2
Total Race = 3 + 25 = 28 m
Ario's completed meters to Ario's remaining meters is 1:4
Completed meter = 1/(1+4) Â * 28 Â = 5.6 meter
Ario's Swim = 5.6 - 3 = 2.6 m
Ario swim before Miguel starts the race = 2.6 m