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saveliy_v [14]
3 years ago
9

The school is 3.64 miles from Tonyas house and 1.29 miles from Jamal's house.

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

2.35 miles

Step-by-step explanation:

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Cindy and Pam, working together, can clean the house in 10 hours. Working alone, Pam takes five times as long as Cindy. How long
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c = Hours it take Cindy by herself

p =Hours it take Pam by herself

now, we know if they work together, they can finish in 10 hours, so let's take a peek at their rate.

whilst working together

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in 1 hr Pam has done 1/p "th" of the whole work

and since we know the whole work's time is 10 hours, in 1 hour they both have done 1/10 of whole lot, so

\stackrel{\textit{Cindy's rate}}{\cfrac{1}{c}}+\stackrel{\textit{Pam's rate}}{\cfrac{1}{p}}=\stackrel{\textit{fraction of total work}}{\cfrac{1}{10}}~\hfill \stackrel{\textit{since Pam takes 5 times longer}}{p=5c} \\\\\\ \cfrac{1}{c}+\cfrac{1}{5c}=\cfrac{1}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10c}}{10c\left( \cfrac{1}{c}+\cfrac{1}{5c} \right)=10c\left( \cfrac{1}{10} \right)}\implies 10+2=c\implies \stackrel{hours}{12=c}

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