Mathematics: 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?

After just 4 tenths of a 2.5-mile race was completed,

MilanPatel

04.01.2022

Lenox lead the race is = 1.5 miles

Reid run without a cramp = 1.75 miles

Step-by-step explanation:

given data

Lenox lead race = $\frac{4}{10}$

total race = 2.5 mile = $\frac{25}{10}$

cramp = $\frac{3}{10}$

to find out

How many miles did Lenox lead the race and How many miles did Reid run without a cramp

solution

we know Lenox lead = $\frac{4}{10}$ and total race is 2.5 mile

Lenox lead the race is = $\frac{4}{10}$ of 2.5 mile

Lenox lead the race is = $\frac{4}{10}$ × $\frac{25}{10}$

Lenox lead the race is = $\frac{15}{10}$ = 1.5 miles

and

we know developed a cramp with $\frac{3}{10}$ of the race remaining

without cramp race is 1 - $\frac{3}{10}$ = $\frac{7}{10}$

and run without cramp is $\frac{7}{10}$ of 2.5 mile

Reid run without a cramp = $\frac{7}{10}$ × $\frac{25}{10}$

Reid run without a cramp = $\frac{175}{100}$

Reid run without a cramp = 1.75 miles

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