After just 4 tenths of a 2.5-mile race was completed, Lenox took the lead and remained there until the end of the race.a. How many miles did Lenox lead the race?b. Reid, the second-place finisher, developed a cramp with 3 tenths of the race remaining. How many miles did Reid run without a cramp?

Answer:Lenox lead the race is = 1.5 milesReid run without a cramp = 1.75 milesStep-by-step explanation:given data Lenox lead race = [tex]\frac{4}{10}[/tex]total race = 2.5 mile = [tex]\frac{25}{10}[/tex]cramp = [tex]\frac{3}{10}[/tex]to find outHow many miles did Lenox lead the race and How many miles did Reid run without a crampsolutionwe know Lenox lead = [tex]\frac{4}{10}[/tex]  and total race is 2.5 mileso Lenox lead the race is = [tex]\frac{4}{10}[/tex]  of 2.5 mileLenox lead the race is = [tex]\frac{4}{10}[/tex] × [tex]\frac{25}{10}[/tex]Lenox lead the race is = [tex]\frac{15}{10}[/tex] = 1.5 milesandwe know developed a cramp with  [tex]\frac{3}{10}[/tex] of the race remainingsowithout cramp race is 1 - [tex]\frac{3}{10}[/tex] = [tex]\frac{7}{10}[/tex] and run without cramp is [tex]\frac{7}{10}[/tex] of 2.5 mileReid run without a cramp =  [tex]\frac{7}{10}[/tex] × [tex]\frac{25}{10}[/tex]Reid run without a cramp =  [tex]\frac{175}{100}[/tex] Reid run without a cramp = 1.75 miles